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Finding the Fourth Proportional to 3,699, 5,104.82 and 2,127.20

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Solution

The fourth proportional to 3,699, 5,104.82 and 2,127.20 is: 2,935.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,699 : 5,104.82 = 2,127.20 : x
  2. Step 2: Convert to fraction form
    3,699/5,104.82 = 2,127.20/x
  3. Step 3: Cross multiply
    3,699x = 5,104.82 × 2,127.20
  4. Step 4: Simplify right side
    3,699x = 10,858,952.90
  5. Step 5: Solve for x
    x = 10,858,952.90/3,699
  6. Step 6: Final answer
    x = 2,935.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.