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Finding the Fourth Proportional to 3,658.49, 5,488.26 and 1,192.70

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Solution

The fourth proportional to 3,658.49, 5,488.26 and 1,192.70 is: 1,789.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,658.49 : 5,488.26 = 1,192.70 : x
  2. Step 2: Convert to fraction form
    3,658.49/5,488.26 = 1,192.70/x
  3. Step 3: Cross multiply
    3,658.49x = 5,488.26 × 1,192.70
  4. Step 4: Simplify right side
    3,658.49x = 6,545,820.26
  5. Step 5: Solve for x
    x = 6,545,820.26/3,658.49
  6. Step 6: Final answer
    x = 1,789.22

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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.