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Finding the Fourth Proportional to 5,207.94, 7,808.67 and 2,433.42

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Solution

The fourth proportional to 5,207.94, 7,808.67 and 2,433.42 is: 3,648.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,207.94 : 7,808.67 = 2,433.42 : x
  2. Step 2: Convert to fraction form
    5,207.94/7,808.67 = 2,433.42/x
  3. Step 3: Cross multiply
    5,207.94x = 7,808.67 × 2,433.42
  4. Step 4: Simplify right side
    5,207.94x = 19,001,773.75
  5. Step 5: Solve for x
    x = 19,001,773.75/5,207.94
  6. Step 6: Final answer
    x = 3,648.62

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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.