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Finding the Fourth Proportional to 5,289.72, 7,299.34 and 2,931.24

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Solution

The fourth proportional to 5,289.72, 7,299.34 and 2,931.24 is: 4,044.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,289.72 : 7,299.34 = 2,931.24 : x
  2. Step 2: Convert to fraction form
    5,289.72/7,299.34 = 2,931.24/x
  3. Step 3: Cross multiply
    5,289.72x = 7,299.34 × 2,931.24
  4. Step 4: Simplify right side
    5,289.72x = 21,396,117.38
  5. Step 5: Solve for x
    x = 21,396,117.38/5,289.72
  6. Step 6: Final answer
    x = 4,044.85

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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.