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Finding the Fourth Proportional to 5,766.52, 7,955.58 and 3,641.44

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Solution

The fourth proportional to 5,766.52, 7,955.58 and 3,641.44 is: 5,023.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,766.52 : 7,955.58 = 3,641.44 : x
  2. Step 2: Convert to fraction form
    5,766.52/7,955.58 = 3,641.44/x
  3. Step 3: Cross multiply
    5,766.52x = 7,955.58 × 3,641.44
  4. Step 4: Simplify right side
    5,766.52x = 28,969,767.24
  5. Step 5: Solve for x
    x = 28,969,767.24/5,766.52
  6. Step 6: Final answer
    x = 5,023.79

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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.