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Finding the Fourth Proportional to 6,285.53, 8,674.29 and 3,767.15

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Solution

The fourth proportional to 6,285.53, 8,674.29 and 3,767.15 is: 5,198.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,285.53 : 8,674.29 = 3,767.15 : x
  2. Step 2: Convert to fraction form
    6,285.53/8,674.29 = 3,767.15/x
  3. Step 3: Cross multiply
    6,285.53x = 8,674.29 × 3,767.15
  4. Step 4: Simplify right side
    6,285.53x = 32,677,373.26
  5. Step 5: Solve for x
    x = 32,677,373.26/6,285.53
  6. Step 6: Final answer
    x = 5,198.82

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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.