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Finding the Fourth Proportional to 4,306.46, 5,942.90 and 2,443.46

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Solution

The fourth proportional to 4,306.46, 5,942.90 and 2,443.46 is: 3,371.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,306.46 : 5,942.90 = 2,443.46 : x
  2. Step 2: Convert to fraction form
    4,306.46/5,942.90 = 2,443.46/x
  3. Step 3: Cross multiply
    4,306.46x = 5,942.90 × 2,443.46
  4. Step 4: Simplify right side
    4,306.46x = 14,521,226.22
  5. Step 5: Solve for x
    x = 14,521,226.22/4,306.46
  6. Step 6: Final answer
    x = 3,371.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.