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Finding the Fourth Proportional to 5,296.20, 7,308.54 and 3,058.71

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Solution

The fourth proportional to 5,296.20, 7,308.54 and 3,058.71 is: 4,220.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,296.20 : 7,308.54 = 3,058.71 : x
  2. Step 2: Convert to fraction form
    5,296.20/7,308.54 = 3,058.71/x
  3. Step 3: Cross multiply
    5,296.20x = 7,308.54 × 3,058.71
  4. Step 4: Simplify right side
    5,296.20x = 22,354,704.38
  5. Step 5: Solve for x
    x = 22,354,704.38/5,296.20
  6. Step 6: Final answer
    x = 4,220.90

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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.