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Finding the Fourth Proportional to 5,947.40, 8,940.30 and 5,486.60

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Solution

The fourth proportional to 5,947.40, 8,940.30 and 5,486.60 is: 8,247.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,947.40 : 8,940.30 = 5,486.60 : x
  2. Step 2: Convert to fraction form
    5,947.40/8,940.30 = 5,486.60/x
  3. Step 3: Cross multiply
    5,947.40x = 8,940.30 × 5,486.60
  4. Step 4: Simplify right side
    5,947.40x = 49,051,849.98
  5. Step 5: Solve for x
    x = 49,051,849.98/5,947.40
  6. Step 6: Final answer
    x = 8,247.61

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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.