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Finding the Fourth Proportional to 4,531.32, 6,799.50 and 2,223

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Solution

The fourth proportional to 4,531.32, 6,799.50 and 2,223 is: 3,335.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,531.32 : 6,799.50 = 2,223 : x
  2. Step 2: Convert to fraction form
    4,531.32/6,799.50 = 2,223/x
  3. Step 3: Cross multiply
    4,531.32x = 6,799.50 × 2,223
  4. Step 4: Simplify right side
    4,531.32x = 15,115,288.50
  5. Step 5: Solve for x
    x = 15,115,288.50/4,531.32
  6. Step 6: Final answer
    x = 3,335.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.