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Finding the Fourth Proportional to 6,103.60, 8,422.96 and 3,309.10

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Solution

The fourth proportional to 6,103.60, 8,422.96 and 3,309.10 is: 4,566.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,103.60 : 8,422.96 = 3,309.10 : x
  2. Step 2: Convert to fraction form
    6,103.60/8,422.96 = 3,309.10/x
  3. Step 3: Cross multiply
    6,103.60x = 8,422.96 × 3,309.10
  4. Step 4: Simplify right side
    6,103.60x = 27,872,387.61
  5. Step 5: Solve for x
    x = 27,872,387.61/6,103.60
  6. Step 6: Final answer
    x = 4,566.55

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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.