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Finding the Fourth Proportional to 5,489.53, 7,572.70 and 3,496.62

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Solution

The fourth proportional to 5,489.53, 7,572.70 and 3,496.62 is: 4,823.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,489.53 : 7,572.70 = 3,496.62 : x
  2. Step 2: Convert to fraction form
    5,489.53/7,572.70 = 3,496.62/x
  3. Step 3: Cross multiply
    5,489.53x = 7,572.70 × 3,496.62
  4. Step 4: Simplify right side
    5,489.53x = 26,478,854.27
  5. Step 5: Solve for x
    x = 26,478,854.27/5,489.53
  6. Step 6: Final answer
    x = 4,823.52

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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.