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Finding the Fourth Proportional to 3,489.96, 5,235.84 and 1,024.86

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Solution

The fourth proportional to 3,489.96, 5,235.84 and 1,024.86 is: 1,537.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,489.96 : 5,235.84 = 1,024.86 : x
  2. Step 2: Convert to fraction form
    3,489.96/5,235.84 = 1,024.86/x
  3. Step 3: Cross multiply
    3,489.96x = 5,235.84 × 1,024.86
  4. Step 4: Simplify right side
    3,489.96x = 5,366,002.98
  5. Step 5: Solve for x
    x = 5,366,002.98/3,489.96
  6. Step 6: Final answer
    x = 1,537.55

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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.