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Finding the Fourth Proportional to 3,901.52, 5,382.08 and 2,642.64

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Solution

The fourth proportional to 3,901.52, 5,382.08 and 2,642.64 is: 3,645.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,901.52 : 5,382.08 = 2,642.64 : x
  2. Step 2: Convert to fraction form
    3,901.52/5,382.08 = 2,642.64/x
  3. Step 3: Cross multiply
    3,901.52x = 5,382.08 × 2,642.64
  4. Step 4: Simplify right side
    3,901.52x = 14,222,899.89
  5. Step 5: Solve for x
    x = 14,222,899.89/3,901.52
  6. Step 6: Final answer
    x = 3,645.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.