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Finding the Fourth Proportional to 2,886, 3,972.96 and 2,591.16

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Solution

The fourth proportional to 2,886, 3,972.96 and 2,591.16 is: 3,567.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,886 : 3,972.96 = 2,591.16 : x
  2. Step 2: Convert to fraction form
    2,886/3,972.96 = 2,591.16/x
  3. Step 3: Cross multiply
    2,886x = 3,972.96 × 2,591.16
  4. Step 4: Simplify right side
    2,886x = 10,294,575.03
  5. Step 5: Solve for x
    x = 10,294,575.03/2,886
  6. Step 6: Final answer
    x = 3,567.07

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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.