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Finding the Fourth Proportional to 3,866.44, 5,335.58 and 2,294.52

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Solution

The fourth proportional to 3,866.44, 5,335.58 and 2,294.52 is: 3,166.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.44 : 5,335.58 = 2,294.52 : x
  2. Step 2: Convert to fraction form
    3,866.44/5,335.58 = 2,294.52/x
  3. Step 3: Cross multiply
    3,866.44x = 5,335.58 × 2,294.52
  4. Step 4: Simplify right side
    3,866.44x = 12,242,595.02
  5. Step 5: Solve for x
    x = 12,242,595.02/3,866.44
  6. Step 6: Final answer
    x = 3,166.37

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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.