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Finding the Fourth Proportional to 6,149.68, 8,489.10 and 4,657.60

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Solution

The fourth proportional to 6,149.68, 8,489.10 and 4,657.60 is: 6,429.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,149.68 : 8,489.10 = 4,657.60 : x
  2. Step 2: Convert to fraction form
    6,149.68/8,489.10 = 4,657.60/x
  3. Step 3: Cross multiply
    6,149.68x = 8,489.10 × 4,657.60
  4. Step 4: Simplify right side
    6,149.68x = 39,538,832.16
  5. Step 5: Solve for x
    x = 39,538,832.16/6,149.68
  6. Step 6: Final answer
    x = 6,429.41

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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.