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Finding the Fourth Proportional to 5,538.24, 7,642.08 and 3,549.24

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Solution

The fourth proportional to 5,538.24, 7,642.08 and 3,549.24 is: 4,897.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,538.24 : 7,642.08 = 3,549.24 : x
  2. Step 2: Convert to fraction form
    5,538.24/7,642.08 = 3,549.24/x
  3. Step 3: Cross multiply
    5,538.24x = 7,642.08 × 3,549.24
  4. Step 4: Simplify right side
    5,538.24x = 27,123,576.02
  5. Step 5: Solve for x
    x = 27,123,576.02/5,538.24
  6. Step 6: Final answer
    x = 4,897.51

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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.