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Finding the Fourth Proportional to 4,705.48, 6,493.65 and 2,581.21

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Solution

The fourth proportional to 4,705.48, 6,493.65 and 2,581.21 is: 3,562.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,705.48 : 6,493.65 = 2,581.21 : x
  2. Step 2: Convert to fraction form
    4,705.48/6,493.65 = 2,581.21/x
  3. Step 3: Cross multiply
    4,705.48x = 6,493.65 × 2,581.21
  4. Step 4: Simplify right side
    4,705.48x = 16,761,472.75
  5. Step 5: Solve for x
    x = 16,761,472.75/4,705.48
  6. Step 6: Final answer
    x = 3,562.12

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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.