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Finding the Fourth Proportional to 3,766,286.96, 5,197,509.80 and 2,047,410.80

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Solution

The fourth proportional to 3,766,286.96, 5,197,509.80 and 2,047,410.80 is: 2,825,445.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,766,286.96 : 5,197,509.80 = 2,047,410.80 : x
  2. Step 2: Convert to fraction form
    3,766,286.96/5,197,509.80 = 2,047,410.80/x
  3. Step 3: Cross multiply
    3,766,286.96x = 5,197,509.80 × 2,047,410.80
  4. Step 4: Simplify right side
    3,766,286.96x = 10,641,437,697,625.84
  5. Step 5: Solve for x
    x = 10,641,437,697,625.84/3,766,286.96
  6. Step 6: Final answer
    x = 2,825,445.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.