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Finding the Fourth Proportional to 3,381.75, 4,663.98 and 2,586.20

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Solution

The fourth proportional to 3,381.75, 4,663.98 and 2,586.20 is: 3,566.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,381.75 : 4,663.98 = 2,586.20 : x
  2. Step 2: Convert to fraction form
    3,381.75/4,663.98 = 2,586.20/x
  3. Step 3: Cross multiply
    3,381.75x = 4,663.98 × 2,586.20
  4. Step 4: Simplify right side
    3,381.75x = 12,061,961.76
  5. Step 5: Solve for x
    x = 12,061,961.76/3,381.75
  6. Step 6: Final answer
    x = 3,566.78

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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.