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Finding the Fourth Proportional to 5,191.97, 7,750.55 and 4,822.91

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Solution

The fourth proportional to 5,191.97, 7,750.55 and 4,822.91 is: 7,199.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,191.97 : 7,750.55 = 4,822.91 : x
  2. Step 2: Convert to fraction form
    5,191.97/7,750.55 = 4,822.91/x
  3. Step 3: Cross multiply
    5,191.97x = 7,750.55 × 4,822.91
  4. Step 4: Simplify right side
    5,191.97x = 37,380,207.47
  5. Step 5: Solve for x
    x = 37,380,207.47/5,191.97
  6. Step 6: Final answer
    x = 7,199.63

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.