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Finding the Fourth Proportional to 5,458, 7,532.06 and 2,974

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Solution

The fourth proportional to 5,458, 7,532.06 and 2,974 is: 4,104.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,458 : 7,532.06 = 2,974 : x
  2. Step 2: Convert to fraction form
    5,458/7,532.06 = 2,974/x
  3. Step 3: Cross multiply
    5,458x = 7,532.06 × 2,974
  4. Step 4: Simplify right side
    5,458x = 22,400,346.44
  5. Step 5: Solve for x
    x = 22,400,346.44/5,458
  6. Step 6: Final answer
    x = 4,104.13

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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.