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Finding the Fourth Proportional to 5,255.85, 7,884.94 and 2,294.77

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Solution

The fourth proportional to 5,255.85, 7,884.94 and 2,294.77 is: 3,442.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,255.85 : 7,884.94 = 2,294.77 : x
  2. Step 2: Convert to fraction form
    5,255.85/7,884.94 = 2,294.77/x
  3. Step 3: Cross multiply
    5,255.85x = 7,884.94 × 2,294.77
  4. Step 4: Simplify right side
    5,255.85x = 18,094,123.76
  5. Step 5: Solve for x
    x = 18,094,123.76/5,255.85
  6. Step 6: Final answer
    x = 3,442.66

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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.