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Finding the Fourth Proportional to 5,252.75, 7,874.42 and 3,597.31

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Solution

The fourth proportional to 5,252.75, 7,874.42 and 3,597.31 is: 5,392.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,252.75 : 7,874.42 = 3,597.31 : x
  2. Step 2: Convert to fraction form
    5,252.75/7,874.42 = 3,597.31/x
  3. Step 3: Cross multiply
    5,252.75x = 7,874.42 × 3,597.31
  4. Step 4: Simplify right side
    5,252.75x = 28,326,721.67
  5. Step 5: Solve for x
    x = 28,326,721.67/5,252.75
  6. Step 6: Final answer
    x = 5,392.74

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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.