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Finding the Fourth Proportional to 5,959.53, 8,931.33 and 3,142.62

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Solution

The fourth proportional to 5,959.53, 8,931.33 and 3,142.62 is: 4,709.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,959.53 : 8,931.33 = 3,142.62 : x
  2. Step 2: Convert to fraction form
    5,959.53/8,931.33 = 3,142.62/x
  3. Step 3: Cross multiply
    5,959.53x = 8,931.33 × 3,142.62
  4. Step 4: Simplify right side
    5,959.53x = 28,067,715.91
  5. Step 5: Solve for x
    x = 28,067,715.91/5,959.53
  6. Step 6: Final answer
    x = 4,709.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.