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Finding the Fourth Proportional to 4,311.74, 5,949.47 and 2,543.69

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Solution

The fourth proportional to 4,311.74, 5,949.47 and 2,543.69 is: 3,509.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,311.74 : 5,949.47 = 2,543.69 : x
  2. Step 2: Convert to fraction form
    4,311.74/5,949.47 = 2,543.69/x
  3. Step 3: Cross multiply
    4,311.74x = 5,949.47 × 2,543.69
  4. Step 4: Simplify right side
    4,311.74x = 15,133,564.88
  5. Step 5: Solve for x
    x = 15,133,564.88/4,311.74
  6. Step 6: Final answer
    x = 3,509.86

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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.