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Finding the Fourth Proportional to 5,439, 7,505.84 and 2,955

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Solution

The fourth proportional to 5,439, 7,505.84 and 2,955 is: 4,077.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,439 : 7,505.84 = 2,955 : x
  2. Step 2: Convert to fraction form
    5,439/7,505.84 = 2,955/x
  3. Step 3: Cross multiply
    5,439x = 7,505.84 × 2,955
  4. Step 4: Simplify right side
    5,439x = 22,179,757.20
  5. Step 5: Solve for x
    x = 22,179,757.20/5,439
  6. Step 6: Final answer
    x = 4,077.91

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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.