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Finding the Fourth Proportional to 3,588.91, 5,384.75 and 1,249.17

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Solution

The fourth proportional to 3,588.91, 5,384.75 and 1,249.17 is: 1,874.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,588.91 : 5,384.75 = 1,249.17 : x
  2. Step 2: Convert to fraction form
    3,588.91/5,384.75 = 1,249.17/x
  3. Step 3: Cross multiply
    3,588.91x = 5,384.75 × 1,249.17
  4. Step 4: Simplify right side
    3,588.91x = 6,726,468.16
  5. Step 5: Solve for x
    x = 6,726,468.16/3,588.91
  6. Step 6: Final answer
    x = 1,874.24

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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.