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Finding the Fourth Proportional to 5,170, 7,134.60 and 2,931.92

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Solution

The fourth proportional to 5,170, 7,134.60 and 2,931.92 is: 4,046.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,170 : 7,134.60 = 2,931.92 : x
  2. Step 2: Convert to fraction form
    5,170/7,134.60 = 2,931.92/x
  3. Step 3: Cross multiply
    5,170x = 7,134.60 × 2,931.92
  4. Step 4: Simplify right side
    5,170x = 20,918,076.43
  5. Step 5: Solve for x
    x = 20,918,076.43/5,170
  6. Step 6: Final answer
    x = 4,046.05

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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.