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Finding the Fourth Proportional to 5,410,947.07, 8,114,506.14 and 1,571,970.80

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Solution

The fourth proportional to 5,410,947.07, 8,114,506.14 and 1,571,970.80 is: 2,357,400.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,410,947.07 : 8,114,506.14 = 1,571,970.80 : x
  2. Step 2: Convert to fraction form
    5,410,947.07/8,114,506.14 = 1,571,970.80/x
  3. Step 3: Cross multiply
    5,410,947.07x = 8,114,506.14 × 1,571,970.80
  4. Step 4: Simplify right side
    5,410,947.07x = 12,755,766,680,195.43
  5. Step 5: Solve for x
    x = 12,755,766,680,195.43/5,410,947.07
  6. Step 6: Final answer
    x = 2,357,400.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.