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Finding the Fourth Proportional to 6,410.10, 8,839.46 and 4,285.61

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Solution

The fourth proportional to 6,410.10, 8,839.46 and 4,285.61 is: 5,909.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,410.10 : 8,839.46 = 4,285.61 : x
  2. Step 2: Convert to fraction form
    6,410.10/8,839.46 = 4,285.61/x
  3. Step 3: Cross multiply
    6,410.10x = 8,839.46 × 4,285.61
  4. Step 4: Simplify right side
    6,410.10x = 37,882,477.84
  5. Step 5: Solve for x
    x = 37,882,477.84/6,410.10
  6. Step 6: Final answer
    x = 5,909.81

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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.