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Finding the Fourth Proportional to 3,954.65, 5,454.61 and 2,538.36

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Solution

The fourth proportional to 3,954.65, 5,454.61 and 2,538.36 is: 3,501.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,954.65 : 5,454.61 = 2,538.36 : x
  2. Step 2: Convert to fraction form
    3,954.65/5,454.61 = 2,538.36/x
  3. Step 3: Cross multiply
    3,954.65x = 5,454.61 × 2,538.36
  4. Step 4: Simplify right side
    3,954.65x = 13,845,757.49
  5. Step 5: Solve for x
    x = 13,845,757.49/3,954.65
  6. Step 6: Final answer
    x = 3,501.14

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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.