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Finding the Fourth Proportional to 5,778.60, 7,975.44 and 3,422.04

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Solution

The fourth proportional to 5,778.60, 7,975.44 and 3,422.04 is: 4,722.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,778.60 : 7,975.44 = 3,422.04 : x
  2. Step 2: Convert to fraction form
    5,778.60/7,975.44 = 3,422.04/x
  3. Step 3: Cross multiply
    5,778.60x = 7,975.44 × 3,422.04
  4. Step 4: Simplify right side
    5,778.60x = 27,292,274.70
  5. Step 5: Solve for x
    x = 27,292,274.70/5,778.60
  6. Step 6: Final answer
    x = 4,722.99

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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.