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Finding the Fourth Proportional to 3,446.32, 4,754.16 and 2,252

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Solution

The fourth proportional to 3,446.32, 4,754.16 and 2,252 is: 3,106.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,446.32 : 4,754.16 = 2,252 : x
  2. Step 2: Convert to fraction form
    3,446.32/4,754.16 = 2,252/x
  3. Step 3: Cross multiply
    3,446.32x = 4,754.16 × 2,252
  4. Step 4: Simplify right side
    3,446.32x = 10,706,368.32
  5. Step 5: Solve for x
    x = 10,706,368.32/3,446.32
  6. Step 6: Final answer
    x = 3,106.61

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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.