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Finding the Fourth Proportional to 5,594.82, 7,720.88 and 3,077.09

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Solution

The fourth proportional to 5,594.82, 7,720.88 and 3,077.09 is: 4,246.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,594.82 : 7,720.88 = 3,077.09 : x
  2. Step 2: Convert to fraction form
    5,594.82/7,720.88 = 3,077.09/x
  3. Step 3: Cross multiply
    5,594.82x = 7,720.88 × 3,077.09
  4. Step 4: Simplify right side
    5,594.82x = 23,757,842.64
  5. Step 5: Solve for x
    x = 23,757,842.64/5,594.82
  6. Step 6: Final answer
    x = 4,246.40

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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.