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Finding the Fourth Proportional to 5,507.49, 8,221.62 and 4,719

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Solution

The fourth proportional to 5,507.49, 8,221.62 and 4,719 is: 7,044.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,507.49 : 8,221.62 = 4,719 : x
  2. Step 2: Convert to fraction form
    5,507.49/8,221.62 = 4,719/x
  3. Step 3: Cross multiply
    5,507.49x = 8,221.62 × 4,719
  4. Step 4: Simplify right side
    5,507.49x = 38,797,824.78
  5. Step 5: Solve for x
    x = 38,797,824.78/5,507.49
  6. Step 6: Final answer
    x = 7,044.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.