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Finding the Fourth Proportional to 3,463.98, 5,193 and 2,365.08

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Solution

The fourth proportional to 3,463.98, 5,193 and 2,365.08 is: 3,545.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,463.98 : 5,193 = 2,365.08 : x
  2. Step 2: Convert to fraction form
    3,463.98/5,193 = 2,365.08/x
  3. Step 3: Cross multiply
    3,463.98x = 5,193 × 2,365.08
  4. Step 4: Simplify right side
    3,463.98x = 12,281,860.44
  5. Step 5: Solve for x
    x = 12,281,860.44/3,463.98
  6. Step 6: Final answer
    x = 3,545.59

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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.