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Finding the Fourth Proportional to 5,650.97, 8,472.50 and 2,141.17

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Solution

The fourth proportional to 5,650.97, 8,472.50 and 2,141.17 is: 3,210.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,650.97 : 8,472.50 = 2,141.17 : x
  2. Step 2: Convert to fraction form
    5,650.97/8,472.50 = 2,141.17/x
  3. Step 3: Cross multiply
    5,650.97x = 8,472.50 × 2,141.17
  4. Step 4: Simplify right side
    5,650.97x = 18,141,038.97
  5. Step 5: Solve for x
    x = 18,141,038.97/5,650.97
  6. Step 6: Final answer
    x = 3,210.26

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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.