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Finding the Fourth Proportional to 3,658.10, 5,487.71 and 1,192.32

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Solution

The fourth proportional to 3,658.10, 5,487.71 and 1,192.32 is: 1,788.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,658.10 : 5,487.71 = 1,192.32 : x
  2. Step 2: Convert to fraction form
    3,658.10/5,487.71 = 1,192.32/x
  3. Step 3: Cross multiply
    3,658.10x = 5,487.71 × 1,192.32
  4. Step 4: Simplify right side
    3,658.10x = 6,543,100.43
  5. Step 5: Solve for x
    x = 6,543,100.43/3,658.10
  6. Step 6: Final answer
    x = 1,788.66

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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.