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Finding the Fourth Proportional to 5,460.38, 7,535.33 and 2,976.38

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Solution

The fourth proportional to 5,460.38, 7,535.33 and 2,976.38 is: 4,107.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,460.38 : 7,535.33 = 2,976.38 : x
  2. Step 2: Convert to fraction form
    5,460.38/7,535.33 = 2,976.38/x
  3. Step 3: Cross multiply
    5,460.38x = 7,535.33 × 2,976.38
  4. Step 4: Simplify right side
    5,460.38x = 22,427,952.95
  5. Step 5: Solve for x
    x = 22,427,952.95/5,460.38
  6. Step 6: Final answer
    x = 4,107.40

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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.