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Finding the Fourth Proportional to 3,586.72, 4,949.20 and 2,014.52

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Solution

The fourth proportional to 3,586.72, 4,949.20 and 2,014.52 is: 2,779.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,586.72 : 4,949.20 = 2,014.52 : x
  2. Step 2: Convert to fraction form
    3,586.72/4,949.20 = 2,014.52/x
  3. Step 3: Cross multiply
    3,586.72x = 4,949.20 × 2,014.52
  4. Step 4: Simplify right side
    3,586.72x = 9,970,262.38
  5. Step 5: Solve for x
    x = 9,970,262.38/3,586.72
  6. Step 6: Final answer
    x = 2,779.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.