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Finding the Fourth Proportional to 3,473.86, 5,211.31 and 1,008.87

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Solution

The fourth proportional to 3,473.86, 5,211.31 and 1,008.87 is: 1,513.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,473.86 : 5,211.31 = 1,008.87 : x
  2. Step 2: Convert to fraction form
    3,473.86/5,211.31 = 1,008.87/x
  3. Step 3: Cross multiply
    3,473.86x = 5,211.31 × 1,008.87
  4. Step 4: Simplify right side
    3,473.86x = 5,257,550.91
  5. Step 5: Solve for x
    x = 5,257,550.91/3,473.86
  6. Step 6: Final answer
    x = 1,513.46

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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.