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Finding the Fourth Proportional to 3,835.30, 5,753.08 and 1,024.11

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Solution

The fourth proportional to 3,835.30, 5,753.08 and 1,024.11 is: 1,536.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,835.30 : 5,753.08 = 1,024.11 : x
  2. Step 2: Convert to fraction form
    3,835.30/5,753.08 = 1,024.11/x
  3. Step 3: Cross multiply
    3,835.30x = 5,753.08 × 1,024.11
  4. Step 4: Simplify right side
    3,835.30x = 5,891,786.76
  5. Step 5: Solve for x
    x = 5,891,786.76/3,835.30
  6. Step 6: Final answer
    x = 1,536.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.