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Finding the Fourth Proportional to 3,337.36, 5,006 and 1,028.86

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Solution

The fourth proportional to 3,337.36, 5,006 and 1,028.86 is: 1,543.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,337.36 : 5,006 = 1,028.86 : x
  2. Step 2: Convert to fraction form
    3,337.36/5,006 = 1,028.86/x
  3. Step 3: Cross multiply
    3,337.36x = 5,006 × 1,028.86
  4. Step 4: Simplify right side
    3,337.36x = 5,150,473.16
  5. Step 5: Solve for x
    x = 5,150,473.16/3,337.36
  6. Step 6: Final answer
    x = 1,543.28

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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.