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Finding the Fourth Proportional to 5,594.64, 7,720.44 and 3,076.76

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Solution

The fourth proportional to 5,594.64, 7,720.44 and 3,076.76 is: 4,245.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,594.64 : 7,720.44 = 3,076.76 : x
  2. Step 2: Convert to fraction form
    5,594.64/7,720.44 = 3,076.76/x
  3. Step 3: Cross multiply
    5,594.64x = 7,720.44 × 3,076.76
  4. Step 4: Simplify right side
    5,594.64x = 23,753,902.37
  5. Step 5: Solve for x
    x = 23,753,902.37/5,594.64
  6. Step 6: Final answer
    x = 4,245.83

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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.