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Finding the Fourth Proportional to 3,337.29, 5,005.76 and 997.31

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Solution

The fourth proportional to 3,337.29, 5,005.76 and 997.31 is: 1,495.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,337.29 : 5,005.76 = 997.31 : x
  2. Step 2: Convert to fraction form
    3,337.29/5,005.76 = 997.31/x
  3. Step 3: Cross multiply
    3,337.29x = 5,005.76 × 997.31
  4. Step 4: Simplify right side
    3,337.29x = 4,992,313.27
  5. Step 5: Solve for x
    x = 4,992,313.27/3,337.29
  6. Step 6: Final answer
    x = 1,495.92

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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.