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Finding the Fourth Proportional to 5,197.88, 7,783.52 and 3,437.49

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Solution

The fourth proportional to 5,197.88, 7,783.52 and 3,437.49 is: 5,147.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,197.88 : 7,783.52 = 3,437.49 : x
  2. Step 2: Convert to fraction form
    5,197.88/7,783.52 = 3,437.49/x
  3. Step 3: Cross multiply
    5,197.88x = 7,783.52 × 3,437.49
  4. Step 4: Simplify right side
    5,197.88x = 26,755,772.16
  5. Step 5: Solve for x
    x = 26,755,772.16/5,197.88
  6. Step 6: Final answer
    x = 5,147.44

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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.