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Finding the Fourth Proportional to 5,128.87, 7,689.59 and 4,142.90

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Solution

The fourth proportional to 5,128.87, 7,689.59 and 4,142.90 is: 6,211.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,128.87 : 7,689.59 = 4,142.90 : x
  2. Step 2: Convert to fraction form
    5,128.87/7,689.59 = 4,142.90/x
  3. Step 3: Cross multiply
    5,128.87x = 7,689.59 × 4,142.90
  4. Step 4: Simplify right side
    5,128.87x = 31,857,202.41
  5. Step 5: Solve for x
    x = 31,857,202.41/5,128.87
  6. Step 6: Final answer
    x = 6,211.35

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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.