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Finding the Fourth Proportional to 3,631.84, 5,447 and 1,034.08

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Solution

The fourth proportional to 3,631.84, 5,447 and 1,034.08 is: 1,550.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,631.84 : 5,447 = 1,034.08 : x
  2. Step 2: Convert to fraction form
    3,631.84/5,447 = 1,034.08/x
  3. Step 3: Cross multiply
    3,631.84x = 5,447 × 1,034.08
  4. Step 4: Simplify right side
    3,631.84x = 5,632,633.76
  5. Step 5: Solve for x
    x = 5,632,633.76/3,631.84
  6. Step 6: Final answer
    x = 1,550.90

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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.