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Finding the Fourth Proportional to 6,257.17, 8,634.31 and 3,738.78

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Solution

The fourth proportional to 6,257.17, 8,634.31 and 3,738.78 is: 5,159.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,257.17 : 8,634.31 = 3,738.78 : x
  2. Step 2: Convert to fraction form
    6,257.17/8,634.31 = 3,738.78/x
  3. Step 3: Cross multiply
    6,257.17x = 8,634.31 × 3,738.78
  4. Step 4: Simplify right side
    6,257.17x = 32,281,776.19
  5. Step 5: Solve for x
    x = 32,281,776.19/6,257.17
  6. Step 6: Final answer
    x = 5,159.16

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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.