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Finding the Fourth Proportional to 5,237.98, 7,854.46 and 2,462.31

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Solution

The fourth proportional to 5,237.98, 7,854.46 and 2,462.31 is: 3,692.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,237.98 : 7,854.46 = 2,462.31 : x
  2. Step 2: Convert to fraction form
    5,237.98/7,854.46 = 2,462.31/x
  3. Step 3: Cross multiply
    5,237.98x = 7,854.46 × 2,462.31
  4. Step 4: Simplify right side
    5,237.98x = 19,340,109.25
  5. Step 5: Solve for x
    x = 19,340,109.25/5,237.98
  6. Step 6: Final answer
    x = 3,692.29

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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.