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Finding the Fourth Proportional to 4,677.56, 6,454.74 and 2,581.68

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Solution

The fourth proportional to 4,677.56, 6,454.74 and 2,581.68 is: 3,562.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,677.56 : 6,454.74 = 2,581.68 : x
  2. Step 2: Convert to fraction form
    4,677.56/6,454.74 = 2,581.68/x
  3. Step 3: Cross multiply
    4,677.56x = 6,454.74 × 2,581.68
  4. Step 4: Simplify right side
    4,677.56x = 16,664,073.16
  5. Step 5: Solve for x
    x = 16,664,073.16/4,677.56
  6. Step 6: Final answer
    x = 3,562.56

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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.