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Finding the Fourth Proportional to 3,586.24, 4,949.12 and 2,014.56

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Solution

The fourth proportional to 3,586.24, 4,949.12 and 2,014.56 is: 2,780.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,586.24 : 4,949.12 = 2,014.56 : x
  2. Step 2: Convert to fraction form
    3,586.24/4,949.12 = 2,014.56/x
  3. Step 3: Cross multiply
    3,586.24x = 4,949.12 × 2,014.56
  4. Step 4: Simplify right side
    3,586.24x = 9,970,299.19
  5. Step 5: Solve for x
    x = 9,970,299.19/3,586.24
  6. Step 6: Final answer
    x = 2,780.15

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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.