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Finding the Fourth Proportional to 3,658.77, 5,488.69 and 1,061.37

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Solution

The fourth proportional to 3,658.77, 5,488.69 and 1,061.37 is: 1,592.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,658.77 : 5,488.69 = 1,061.37 : x
  2. Step 2: Convert to fraction form
    3,658.77/5,488.69 = 1,061.37/x
  3. Step 3: Cross multiply
    3,658.77x = 5,488.69 × 1,061.37
  4. Step 4: Simplify right side
    3,658.77x = 5,825,530.91
  5. Step 5: Solve for x
    x = 5,825,530.91/3,658.77
  6. Step 6: Final answer
    x = 1,592.21

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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.