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Finding the Fourth Proportional to 3,866.70, 5,335.29 and 2,295.30

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Solution

The fourth proportional to 3,866.70, 5,335.29 and 2,295.30 is: 3,167.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.70 : 5,335.29 = 2,295.30 : x
  2. Step 2: Convert to fraction form
    3,866.70/5,335.29 = 2,295.30/x
  3. Step 3: Cross multiply
    3,866.70x = 5,335.29 × 2,295.30
  4. Step 4: Simplify right side
    3,866.70x = 12,246,091.14
  5. Step 5: Solve for x
    x = 12,246,091.14/3,866.70
  6. Step 6: Final answer
    x = 3,167.07

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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.