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Finding the Fourth Proportional to 4,696.88, 7,049.64 and 2,233.40

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Solution

The fourth proportional to 4,696.88, 7,049.64 and 2,233.40 is: 3,352.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,696.88 : 7,049.64 = 2,233.40 : x
  2. Step 2: Convert to fraction form
    4,696.88/7,049.64 = 2,233.40/x
  3. Step 3: Cross multiply
    4,696.88x = 7,049.64 × 2,233.40
  4. Step 4: Simplify right side
    4,696.88x = 15,744,665.98
  5. Step 5: Solve for x
    x = 15,744,665.98/4,696.88
  6. Step 6: Final answer
    x = 3,352.15

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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.