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Finding the Fourth Proportional to 6,319.65, 8,725.74 and 4,082.85

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Solution

The fourth proportional to 6,319.65, 8,725.74 and 4,082.85 is: 5,637.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,319.65 : 8,725.74 = 4,082.85 : x
  2. Step 2: Convert to fraction form
    6,319.65/8,725.74 = 4,082.85/x
  3. Step 3: Cross multiply
    6,319.65x = 8,725.74 × 4,082.85
  4. Step 4: Simplify right side
    6,319.65x = 35,625,887.56
  5. Step 5: Solve for x
    x = 35,625,887.56/6,319.65
  6. Step 6: Final answer
    x = 5,637.32

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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.