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Finding the Fourth Proportional to 4,754.96, 7,129.40 and 4,171.13

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Solution

The fourth proportional to 4,754.96, 7,129.40 and 4,171.13 is: 6,254.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,754.96 : 7,129.40 = 4,171.13 : x
  2. Step 2: Convert to fraction form
    4,754.96/7,129.40 = 4,171.13/x
  3. Step 3: Cross multiply
    4,754.96x = 7,129.40 × 4,171.13
  4. Step 4: Simplify right side
    4,754.96x = 29,737,597.72
  5. Step 5: Solve for x
    x = 29,737,597.72/4,754.96
  6. Step 6: Final answer
    x = 6,254.02

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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.