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Finding the Fourth Proportional to 4,597, 6,344.26 and 2,918.20

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Solution

The fourth proportional to 4,597, 6,344.26 and 2,918.20 is: 4,027.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,597 : 6,344.26 = 2,918.20 : x
  2. Step 2: Convert to fraction form
    4,597/6,344.26 = 2,918.20/x
  3. Step 3: Cross multiply
    4,597x = 6,344.26 × 2,918.20
  4. Step 4: Simplify right side
    4,597x = 18,513,819.53
  5. Step 5: Solve for x
    x = 18,513,819.53/4,597
  6. Step 6: Final answer
    x = 4,027.37

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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.