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Finding the Fourth Proportional to 5,171.74, 7,134.66 and 3,046.17

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Solution

The fourth proportional to 5,171.74, 7,134.66 and 3,046.17 is: 4,202.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,171.74 : 7,134.66 = 3,046.17 : x
  2. Step 2: Convert to fraction form
    5,171.74/7,134.66 = 3,046.17/x
  3. Step 3: Cross multiply
    5,171.74x = 7,134.66 × 3,046.17
  4. Step 4: Simplify right side
    5,171.74x = 21,733,387.25
  5. Step 5: Solve for x
    x = 21,733,387.25/5,171.74
  6. Step 6: Final answer
    x = 4,202.34

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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.