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Finding the Fourth Proportional to 5,270.95, 7,910.33 and 2,497.64

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Solution

The fourth proportional to 5,270.95, 7,910.33 and 2,497.64 is: 3,748.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,270.95 : 7,910.33 = 2,497.64 : x
  2. Step 2: Convert to fraction form
    5,270.95/7,910.33 = 2,497.64/x
  3. Step 3: Cross multiply
    5,270.95x = 7,910.33 × 2,497.64
  4. Step 4: Simplify right side
    5,270.95x = 19,757,104.58
  5. Step 5: Solve for x
    x = 19,757,104.58/5,270.95
  6. Step 6: Final answer
    x = 3,748.30

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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.