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Finding the Fourth Proportional to 5,221.44, 7,791.28 and 4,669

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Solution

The fourth proportional to 5,221.44, 7,791.28 and 4,669 is: 6,966.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,221.44 : 7,791.28 = 4,669 : x
  2. Step 2: Convert to fraction form
    5,221.44/7,791.28 = 4,669/x
  3. Step 3: Cross multiply
    5,221.44x = 7,791.28 × 4,669
  4. Step 4: Simplify right side
    5,221.44x = 36,377,486.32
  5. Step 5: Solve for x
    x = 36,377,486.32/5,221.44
  6. Step 6: Final answer
    x = 6,966.95

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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.