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Finding the Fourth Proportional to 6,129.74, 8,458.36 and 3,611.70

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Solution

The fourth proportional to 6,129.74, 8,458.36 and 3,611.70 is: 4,983.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,129.74 : 8,458.36 = 3,611.70 : x
  2. Step 2: Convert to fraction form
    6,129.74/8,458.36 = 3,611.70/x
  3. Step 3: Cross multiply
    6,129.74x = 8,458.36 × 3,611.70
  4. Step 4: Simplify right side
    6,129.74x = 30,549,049.78
  5. Step 5: Solve for x
    x = 30,549,049.78/6,129.74
  6. Step 6: Final answer
    x = 4,983.74

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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.