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Finding the Fourth Proportional to 3,737.65, 5,601.67 and 1,547.89

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Solution

The fourth proportional to 3,737.65, 5,601.67 and 1,547.89 is: 2,319.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,737.65 : 5,601.67 = 1,547.89 : x
  2. Step 2: Convert to fraction form
    3,737.65/5,601.67 = 1,547.89/x
  3. Step 3: Cross multiply
    3,737.65x = 5,601.67 × 1,547.89
  4. Step 4: Simplify right side
    3,737.65x = 8,670,768.98
  5. Step 5: Solve for x
    x = 8,670,768.98/3,737.65
  6. Step 6: Final answer
    x = 2,319.85

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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.