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Finding the Fourth Proportional to 5,952.57, 8,930.34 and 1,792.49

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Solution

The fourth proportional to 5,952.57, 8,930.34 and 1,792.49 is: 2,689.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,952.57 : 8,930.34 = 1,792.49 : x
  2. Step 2: Convert to fraction form
    5,952.57/8,930.34 = 1,792.49/x
  3. Step 3: Cross multiply
    5,952.57x = 8,930.34 × 1,792.49
  4. Step 4: Simplify right side
    5,952.57x = 16,007,500.49
  5. Step 5: Solve for x
    x = 16,007,500.49/5,952.57
  6. Step 6: Final answer
    x = 2,689.17

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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.