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Finding the Fourth Proportional to 5,237.38, 7,854.85 and 2,896.68

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Solution

The fourth proportional to 5,237.38, 7,854.85 and 2,896.68 is: 4,344.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,237.38 : 7,854.85 = 2,896.68 : x
  2. Step 2: Convert to fraction form
    5,237.38/7,854.85 = 2,896.68/x
  3. Step 3: Cross multiply
    5,237.38x = 7,854.85 × 2,896.68
  4. Step 4: Simplify right side
    5,237.38x = 22,752,986.90
  5. Step 5: Solve for x
    x = 22,752,986.90/5,237.38
  6. Step 6: Final answer
    x = 4,344.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.