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Finding the Fourth Proportional to 4,765.14, 7,150.14 and 2,167.74

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Solution

The fourth proportional to 4,765.14, 7,150.14 and 2,167.74 is: 3,252.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,765.14 : 7,150.14 = 2,167.74 : x
  2. Step 2: Convert to fraction form
    4,765.14/7,150.14 = 2,167.74/x
  3. Step 3: Cross multiply
    4,765.14x = 7,150.14 × 2,167.74
  4. Step 4: Simplify right side
    4,765.14x = 15,499,644.48
  5. Step 5: Solve for x
    x = 15,499,644.48/4,765.14
  6. Step 6: Final answer
    x = 3,252.72

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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.