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Finding the Fourth Proportional to 3,892.91, 5,838.50 and 1,552.48

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Solution

The fourth proportional to 3,892.91, 5,838.50 and 1,552.48 is: 2,328.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,892.91 : 5,838.50 = 1,552.48 : x
  2. Step 2: Convert to fraction form
    3,892.91/5,838.50 = 1,552.48/x
  3. Step 3: Cross multiply
    3,892.91x = 5,838.50 × 1,552.48
  4. Step 4: Simplify right side
    3,892.91x = 9,064,165.66
  5. Step 5: Solve for x
    x = 9,064,165.66/3,892.91
  6. Step 6: Final answer
    x = 2,328.38

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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.