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Finding the Fourth Proportional to 5,422.08, 7,482.42 and 2,938.08

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Solution

The fourth proportional to 5,422.08, 7,482.42 and 2,938.08 is: 4,054.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,422.08 : 7,482.42 = 2,938.08 : x
  2. Step 2: Convert to fraction form
    5,422.08/7,482.42 = 2,938.08/x
  3. Step 3: Cross multiply
    5,422.08x = 7,482.42 × 2,938.08
  4. Step 4: Simplify right side
    5,422.08x = 21,983,948.55
  5. Step 5: Solve for x
    x = 21,983,948.55/5,422.08
  6. Step 6: Final answer
    x = 4,054.52

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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.