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Finding the Fourth Proportional to 3,658.24, 5,487.93 and 1,192.48

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Solution

The fourth proportional to 3,658.24, 5,487.93 and 1,192.48 is: 1,788.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,658.24 : 5,487.93 = 1,192.48 : x
  2. Step 2: Convert to fraction form
    3,658.24/5,487.93 = 1,192.48/x
  3. Step 3: Cross multiply
    3,658.24x = 5,487.93 × 1,192.48
  4. Step 4: Simplify right side
    3,658.24x = 6,544,246.77
  5. Step 5: Solve for x
    x = 6,544,246.77/3,658.24
  6. Step 6: Final answer
    x = 1,788.91

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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.