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Finding the Fourth Proportional to 3,456.87, 4,771.07 and 2,396.17

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Solution

The fourth proportional to 3,456.87, 4,771.07 and 2,396.17 is: 3,307.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,456.87 : 4,771.07 = 2,396.17 : x
  2. Step 2: Convert to fraction form
    3,456.87/4,771.07 = 2,396.17/x
  3. Step 3: Cross multiply
    3,456.87x = 4,771.07 × 2,396.17
  4. Step 4: Simplify right side
    3,456.87x = 11,432,294.80
  5. Step 5: Solve for x
    x = 11,432,294.80/3,456.87
  6. Step 6: Final answer
    x = 3,307.12

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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.