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Finding the Fourth Proportional to 3,891.80, 5,368.75 and 2,565.02

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Solution

The fourth proportional to 3,891.80, 5,368.75 and 2,565.02 is: 3,538.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,891.80 : 5,368.75 = 2,565.02 : x
  2. Step 2: Convert to fraction form
    3,891.80/5,368.75 = 2,565.02/x
  3. Step 3: Cross multiply
    3,891.80x = 5,368.75 × 2,565.02
  4. Step 4: Simplify right side
    3,891.80x = 13,770,951.13
  5. Step 5: Solve for x
    x = 13,770,951.13/3,891.80
  6. Step 6: Final answer
    x = 3,538.45

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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.