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Finding the Fourth Proportional to 3,932.51, 5,899.61 and 1,592.49

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Solution

The fourth proportional to 3,932.51, 5,899.61 and 1,592.49 is: 2,389.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,932.51 : 5,899.61 = 1,592.49 : x
  2. Step 2: Convert to fraction form
    3,932.51/5,899.61 = 1,592.49/x
  3. Step 3: Cross multiply
    3,932.51x = 5,899.61 × 1,592.49
  4. Step 4: Simplify right side
    3,932.51x = 9,395,061.97
  5. Step 5: Solve for x
    x = 9,395,061.97/3,932.51
  6. Step 6: Final answer
    x = 2,389.08

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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.