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Finding the Fourth Proportional to 5,254.72, 7,884.88 and 3,495.44

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Solution

The fourth proportional to 5,254.72, 7,884.88 and 3,495.44 is: 5,245.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,254.72 : 7,884.88 = 3,495.44 : x
  2. Step 2: Convert to fraction form
    5,254.72/7,884.88 = 3,495.44/x
  3. Step 3: Cross multiply
    5,254.72x = 7,884.88 × 3,495.44
  4. Step 4: Simplify right side
    5,254.72x = 27,561,124.95
  5. Step 5: Solve for x
    x = 27,561,124.95/5,254.72
  6. Step 6: Final answer
    x = 5,245.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.