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Finding the Fourth Proportional to 5,170.38, 7,752.96 and 3,064.14

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Solution

The fourth proportional to 5,170.38, 7,752.96 and 3,064.14 is: 4,594.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,170.38 : 7,752.96 = 3,064.14 : x
  2. Step 2: Convert to fraction form
    5,170.38/7,752.96 = 3,064.14/x
  3. Step 3: Cross multiply
    5,170.38x = 7,752.96 × 3,064.14
  4. Step 4: Simplify right side
    5,170.38x = 23,756,154.85
  5. Step 5: Solve for x
    x = 23,756,154.85/5,170.38
  6. Step 6: Final answer
    x = 4,594.66

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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.