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Finding the Fourth Proportional to 5,962.64, 8,938.40 and 5,470.56

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Solution

The fourth proportional to 5,962.64, 8,938.40 and 5,470.56 is: 8,200.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,962.64 : 8,938.40 = 5,470.56 : x
  2. Step 2: Convert to fraction form
    5,962.64/8,938.40 = 5,470.56/x
  3. Step 3: Cross multiply
    5,962.64x = 8,938.40 × 5,470.56
  4. Step 4: Simplify right side
    5,962.64x = 48,898,053.50
  5. Step 5: Solve for x
    x = 48,898,053.50/5,962.64
  6. Step 6: Final answer
    x = 8,200.74

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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.