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Finding the Fourth Proportional to 3,380.54, 5,071.28 and 1,532.12

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Solution

The fourth proportional to 3,380.54, 5,071.28 and 1,532.12 is: 2,298.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,380.54 : 5,071.28 = 1,532.12 : x
  2. Step 2: Convert to fraction form
    3,380.54/5,071.28 = 1,532.12/x
  3. Step 3: Cross multiply
    3,380.54x = 5,071.28 × 1,532.12
  4. Step 4: Simplify right side
    3,380.54x = 7,769,776.50
  5. Step 5: Solve for x
    x = 7,769,776.50/3,380.54
  6. Step 6: Final answer
    x = 2,298.39

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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.