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Finding the Fourth Proportional to 5,565.85, 7,677.25 and 3,751.92

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Solution

The fourth proportional to 5,565.85, 7,677.25 and 3,751.92 is: 5,175.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,565.85 : 7,677.25 = 3,751.92 : x
  2. Step 2: Convert to fraction form
    5,565.85/7,677.25 = 3,751.92/x
  3. Step 3: Cross multiply
    5,565.85x = 7,677.25 × 3,751.92
  4. Step 4: Simplify right side
    5,565.85x = 28,804,418.44
  5. Step 5: Solve for x
    x = 28,804,418.44/5,565.85
  6. Step 6: Final answer
    x = 5,175.21

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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.