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Finding the Fourth Proportional to 5,474, 7,554.16 and 2,990

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Solution

The fourth proportional to 5,474, 7,554.16 and 2,990 is: 4,126.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,474 : 7,554.16 = 2,990 : x
  2. Step 2: Convert to fraction form
    5,474/7,554.16 = 2,990/x
  3. Step 3: Cross multiply
    5,474x = 7,554.16 × 2,990
  4. Step 4: Simplify right side
    5,474x = 22,586,938.40
  5. Step 5: Solve for x
    x = 22,586,938.40/5,474
  6. Step 6: Final answer
    x = 4,126.22

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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.