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Finding the Fourth Proportional to 5,074.13, 7,002.90 and 2,978.25

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Solution

The fourth proportional to 5,074.13, 7,002.90 and 2,978.25 is: 4,110.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,074.13 : 7,002.90 = 2,978.25 : x
  2. Step 2: Convert to fraction form
    5,074.13/7,002.90 = 2,978.25/x
  3. Step 3: Cross multiply
    5,074.13x = 7,002.90 × 2,978.25
  4. Step 4: Simplify right side
    5,074.13x = 20,856,386.93
  5. Step 5: Solve for x
    x = 20,856,386.93/5,074.13
  6. Step 6: Final answer
    x = 4,110.34

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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.