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Finding the Fourth Proportional to 3,213.68, 4,436.98 and 2,152.98

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Solution

The fourth proportional to 3,213.68, 4,436.98 and 2,152.98 is: 2,972.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,213.68 : 4,436.98 = 2,152.98 : x
  2. Step 2: Convert to fraction form
    3,213.68/4,436.98 = 2,152.98/x
  3. Step 3: Cross multiply
    3,213.68x = 4,436.98 × 2,152.98
  4. Step 4: Simplify right side
    3,213.68x = 9,552,723.82
  5. Step 5: Solve for x
    x = 9,552,723.82/3,213.68
  6. Step 6: Final answer
    x = 2,972.52

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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.