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Finding the Fourth Proportional to 5,474, 7,554.12 and 5,034.32

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Solution

The fourth proportional to 5,474, 7,554.12 and 5,034.32 is: 6,947.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,474 : 7,554.12 = 5,034.32 : x
  2. Step 2: Convert to fraction form
    5,474/7,554.12 = 5,034.32/x
  3. Step 3: Cross multiply
    5,474x = 7,554.12 × 5,034.32
  4. Step 4: Simplify right side
    5,474x = 38,029,857.40
  5. Step 5: Solve for x
    x = 38,029,857.40/5,474
  6. Step 6: Final answer
    x = 6,947.36

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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.