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Finding the Fourth Proportional to 6,129.76, 8,459.64 and 3,612.65

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Solution

The fourth proportional to 6,129.76, 8,459.64 and 3,612.65 is: 4,985.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,129.76 : 8,459.64 = 3,612.65 : x
  2. Step 2: Convert to fraction form
    6,129.76/8,459.64 = 3,612.65/x
  3. Step 3: Cross multiply
    6,129.76x = 8,459.64 × 3,612.65
  4. Step 4: Simplify right side
    6,129.76x = 30,561,723.73
  5. Step 5: Solve for x
    x = 30,561,723.73/6,129.76
  6. Step 6: Final answer
    x = 4,985.80

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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.