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Finding the Fourth Proportional to 5,171.96, 7,134.10 and 4,510.40

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Solution

The fourth proportional to 5,171.96, 7,134.10 and 4,510.40 is: 6,221.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,171.96 : 7,134.10 = 4,510.40 : x
  2. Step 2: Convert to fraction form
    5,171.96/7,134.10 = 4,510.40/x
  3. Step 3: Cross multiply
    5,171.96x = 7,134.10 × 4,510.40
  4. Step 4: Simplify right side
    5,171.96x = 32,177,644.64
  5. Step 5: Solve for x
    x = 32,177,644.64/5,171.96
  6. Step 6: Final answer
    x = 6,221.56

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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.