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Finding the Fourth Proportional to 3,658.62, 5,487.93 and 1,061.57

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Solution

The fourth proportional to 3,658.62, 5,487.93 and 1,061.57 is: 1,592.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,658.62 : 5,487.93 = 1,061.57 : x
  2. Step 2: Convert to fraction form
    3,658.62/5,487.93 = 1,061.57/x
  3. Step 3: Cross multiply
    3,658.62x = 5,487.93 × 1,061.57
  4. Step 4: Simplify right side
    3,658.62x = 5,825,794.41
  5. Step 5: Solve for x
    x = 5,825,794.41/3,658.62
  6. Step 6: Final answer
    x = 1,592.35

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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.