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Finding the Fourth Proportional to 5,257.04, 7,874.04 and 3,200.72

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Solution

The fourth proportional to 5,257.04, 7,874.04 and 3,200.72 is: 4,794.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,257.04 : 7,874.04 = 3,200.72 : x
  2. Step 2: Convert to fraction form
    5,257.04/7,874.04 = 3,200.72/x
  3. Step 3: Cross multiply
    5,257.04x = 7,874.04 × 3,200.72
  4. Step 4: Simplify right side
    5,257.04x = 25,202,597.31
  5. Step 5: Solve for x
    x = 25,202,597.31/5,257.04
  6. Step 6: Final answer
    x = 4,794.07

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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.