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Finding the Fourth Proportional to 5,594.42, 7,720.31 and 3,076.70

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Solution

The fourth proportional to 5,594.42, 7,720.31 and 3,076.70 is: 4,245.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,594.42 : 7,720.31 = 3,076.70 : x
  2. Step 2: Convert to fraction form
    5,594.42/7,720.31 = 3,076.70/x
  3. Step 3: Cross multiply
    5,594.42x = 7,720.31 × 3,076.70
  4. Step 4: Simplify right side
    5,594.42x = 23,753,023.79
  5. Step 5: Solve for x
    x = 23,753,023.79/5,594.42
  6. Step 6: Final answer
    x = 4,245.85

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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.