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Finding the Fourth Proportional to 5,737.66, 8,607.20 and 1,842.17

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Solution

The fourth proportional to 5,737.66, 8,607.20 and 1,842.17 is: 2,763.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,737.66 : 8,607.20 = 1,842.17 : x
  2. Step 2: Convert to fraction form
    5,737.66/8,607.20 = 1,842.17/x
  3. Step 3: Cross multiply
    5,737.66x = 8,607.20 × 1,842.17
  4. Step 4: Simplify right side
    5,737.66x = 15,855,873.38
  5. Step 5: Solve for x
    x = 15,855,873.38/5,737.66
  6. Step 6: Final answer
    x = 2,763.48

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Why These Related Problems?

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