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Finding the Fourth Proportional to 3,489.63, 5,234.94 and 1,024.11

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Solution

The fourth proportional to 3,489.63, 5,234.94 and 1,024.11 is: 1,536.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,489.63 : 5,234.94 = 1,024.11 : x
  2. Step 2: Convert to fraction form
    3,489.63/5,234.94 = 1,024.11/x
  3. Step 3: Cross multiply
    3,489.63x = 5,234.94 × 1,024.11
  4. Step 4: Simplify right side
    3,489.63x = 5,361,154.40
  5. Step 5: Solve for x
    x = 5,361,154.40/3,489.63
  6. Step 6: Final answer
    x = 1,536.31

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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.