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Finding the Fourth Proportional to 5,538.66, 7,641.24 and 3,548.88

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Solution

The fourth proportional to 5,538.66, 7,641.24 and 3,548.88 is: 4,896.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,538.66 : 7,641.24 = 3,548.88 : x
  2. Step 2: Convert to fraction form
    5,538.66/7,641.24 = 3,548.88/x
  3. Step 3: Cross multiply
    5,538.66x = 7,641.24 × 3,548.88
  4. Step 4: Simplify right side
    5,538.66x = 27,117,843.81
  5. Step 5: Solve for x
    x = 27,117,843.81/5,538.66
  6. Step 6: Final answer
    x = 4,896.10

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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.