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Finding the Fourth Proportional to 5,433.38, 7,498.07 and 2,949.38

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Solution

The fourth proportional to 5,433.38, 7,498.07 and 2,949.38 is: 4,070.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,433.38 : 7,498.07 = 2,949.38 : x
  2. Step 2: Convert to fraction form
    5,433.38/7,498.07 = 2,949.38/x
  3. Step 3: Cross multiply
    5,433.38x = 7,498.07 × 2,949.38
  4. Step 4: Simplify right side
    5,433.38x = 22,114,605.46
  5. Step 5: Solve for x
    x = 22,114,605.46/5,433.38
  6. Step 6: Final answer
    x = 4,070.14

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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.