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Finding the Fourth Proportional to 5,074.02, 7,002.33 and 2,978.82

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Solution

The fourth proportional to 5,074.02, 7,002.33 and 2,978.82 is: 4,110.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,074.02 : 7,002.33 = 2,978.82 : x
  2. Step 2: Convert to fraction form
    5,074.02/7,002.33 = 2,978.82/x
  3. Step 3: Cross multiply
    5,074.02x = 7,002.33 × 2,978.82
  4. Step 4: Simplify right side
    5,074.02x = 20,858,680.65
  5. Step 5: Solve for x
    x = 20,858,680.65/5,074.02
  6. Step 6: Final answer
    x = 4,110.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.