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Finding the Fourth Proportional to 3,616.39, 5,423.17 and 1,275.90

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Solution

The fourth proportional to 3,616.39, 5,423.17 and 1,275.90 is: 1,913.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,616.39 : 5,423.17 = 1,275.90 : x
  2. Step 2: Convert to fraction form
    3,616.39/5,423.17 = 1,275.90/x
  3. Step 3: Cross multiply
    3,616.39x = 5,423.17 × 1,275.90
  4. Step 4: Simplify right side
    3,616.39x = 6,919,401.47
  5. Step 5: Solve for x
    x = 6,919,401.47/3,616.39
  6. Step 6: Final answer
    x = 1,913.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.