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Finding the Fourth Proportional to 5,101.91, 7,648.17 and 1,984.01

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Solution

The fourth proportional to 5,101.91, 7,648.17 and 1,984.01 is: 2,974.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,101.91 : 7,648.17 = 1,984.01 : x
  2. Step 2: Convert to fraction form
    5,101.91/7,648.17 = 1,984.01/x
  3. Step 3: Cross multiply
    5,101.91x = 7,648.17 × 1,984.01
  4. Step 4: Simplify right side
    5,101.91x = 15,174,007.52
  5. Step 5: Solve for x
    x = 15,174,007.52/5,101.91
  6. Step 6: Final answer
    x = 2,974.18

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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.