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Finding the Fourth Proportional to 4,624.66, 6,382.43 and 2,635.71

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Solution

The fourth proportional to 4,624.66, 6,382.43 and 2,635.71 is: 3,637.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,624.66 : 6,382.43 = 2,635.71 : x
  2. Step 2: Convert to fraction form
    4,624.66/6,382.43 = 2,635.71/x
  3. Step 3: Cross multiply
    4,624.66x = 6,382.43 × 2,635.71
  4. Step 4: Simplify right side
    4,624.66x = 16,822,234.58
  5. Step 5: Solve for x
    x = 16,822,234.58/4,624.66
  6. Step 6: Final answer
    x = 3,637.51

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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.