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Finding the Fourth Proportional to 3,586.38, 4,949.45 and 2,014.47

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Solution

The fourth proportional to 3,586.38, 4,949.45 and 2,014.47 is: 2,780.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,586.38 : 4,949.45 = 2,014.47 : x
  2. Step 2: Convert to fraction form
    3,586.38/4,949.45 = 2,014.47/x
  3. Step 3: Cross multiply
    3,586.38x = 4,949.45 × 2,014.47
  4. Step 4: Simplify right side
    3,586.38x = 9,970,527.35
  5. Step 5: Solve for x
    x = 9,970,527.35/3,586.38
  6. Step 6: Final answer
    x = 2,780.11

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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.