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Finding the Fourth Proportional to 6,405.24, 8,839.24 and 3,610.76

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Solution

The fourth proportional to 6,405.24, 8,839.24 and 3,610.76 is: 4,982.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,405.24 : 8,839.24 = 3,610.76 : x
  2. Step 2: Convert to fraction form
    6,405.24/8,839.24 = 3,610.76/x
  3. Step 3: Cross multiply
    6,405.24x = 8,839.24 × 3,610.76
  4. Step 4: Simplify right side
    6,405.24x = 31,916,374.22
  5. Step 5: Solve for x
    x = 31,916,374.22/6,405.24
  6. Step 6: Final answer
    x = 4,982.85

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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.