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Finding the Fourth Proportional to 5,489.95, 7,576.14 and 2,972.09

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Solution

The fourth proportional to 5,489.95, 7,576.14 and 2,972.09 is: 4,101.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,489.95 : 7,576.14 = 2,972.09 : x
  2. Step 2: Convert to fraction form
    5,489.95/7,576.14 = 2,972.09/x
  3. Step 3: Cross multiply
    5,489.95x = 7,576.14 × 2,972.09
  4. Step 4: Simplify right side
    5,489.95x = 22,516,932.05
  5. Step 5: Solve for x
    x = 22,516,932.05/5,489.95
  6. Step 6: Final answer
    x = 4,101.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.