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Finding the Fourth Proportional to 5,600.43, 8,377.55 and 4,602

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Solution

The fourth proportional to 5,600.43, 8,377.55 and 4,602 is: 6,884.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,600.43 : 8,377.55 = 4,602 : x
  2. Step 2: Convert to fraction form
    5,600.43/8,377.55 = 4,602/x
  3. Step 3: Cross multiply
    5,600.43x = 8,377.55 × 4,602
  4. Step 4: Simplify right side
    5,600.43x = 38,553,462.09
  5. Step 5: Solve for x
    x = 38,553,462.09/5,600.43
  6. Step 6: Final answer
    x = 6,884.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.