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Finding the Fourth Proportional to 3,470.02, 5,200.55 and 3,023.47

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Solution

The fourth proportional to 3,470.02, 5,200.55 and 3,023.47 is: 4,531.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.02 : 5,200.55 = 3,023.47 : x
  2. Step 2: Convert to fraction form
    3,470.02/5,200.55 = 3,023.47/x
  3. Step 3: Cross multiply
    3,470.02x = 5,200.55 × 3,023.47
  4. Step 4: Simplify right side
    3,470.02x = 15,723,706.91
  5. Step 5: Solve for x
    x = 15,723,706.91/3,470.02
  6. Step 6: Final answer
    x = 4,531.31

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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.