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Finding the Fourth Proportional to 6,317.40, 8,718.01 and 3,665

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Solution

The fourth proportional to 6,317.40, 8,718.01 and 3,665 is: 5,057.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,317.40 : 8,718.01 = 3,665 : x
  2. Step 2: Convert to fraction form
    6,317.40/8,718.01 = 3,665/x
  3. Step 3: Cross multiply
    6,317.40x = 8,718.01 × 3,665
  4. Step 4: Simplify right side
    6,317.40x = 31,951,506.65
  5. Step 5: Solve for x
    x = 31,951,506.65/6,317.40
  6. Step 6: Final answer
    x = 5,057.70

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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.