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Finding the Fourth Proportional to 5,494.30, 7,580.82 and 3,255.79

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Solution

The fourth proportional to 5,494.30, 7,580.82 and 3,255.79 is: 4,492.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,494.30 : 7,580.82 = 3,255.79 : x
  2. Step 2: Convert to fraction form
    5,494.30/7,580.82 = 3,255.79/x
  3. Step 3: Cross multiply
    5,494.30x = 7,580.82 × 3,255.79
  4. Step 4: Simplify right side
    5,494.30x = 24,681,539.00
  5. Step 5: Solve for x
    x = 24,681,539.00/5,494.30
  6. Step 6: Final answer
    x = 4,492.21

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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.