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Finding the Fourth Proportional to 3,489.02, 5,234.00 and 1,024.01

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Solution

The fourth proportional to 3,489.02, 5,234.00 and 1,024.01 is: 1,536.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,489.02 : 5,234.00 = 1,024.01 : x
  2. Step 2: Convert to fraction form
    3,489.02/5,234.00 = 1,024.01/x
  3. Step 3: Cross multiply
    3,489.02x = 5,234.00 × 1,024.01
  4. Step 4: Simplify right side
    3,489.02x = 5,359,644.73
  5. Step 5: Solve for x
    x = 5,359,644.73/3,489.02
  6. Step 6: Final answer
    x = 1,536.15

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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.