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Finding the Fourth Proportional to 3,494.76, 5,243.96 and 1,414.98

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Solution

The fourth proportional to 3,494.76, 5,243.96 and 1,414.98 is: 2,123.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.76 : 5,243.96 = 1,414.98 : x
  2. Step 2: Convert to fraction form
    3,494.76/5,243.96 = 1,414.98/x
  3. Step 3: Cross multiply
    3,494.76x = 5,243.96 × 1,414.98
  4. Step 4: Simplify right side
    3,494.76x = 7,420,102.06
  5. Step 5: Solve for x
    x = 7,420,102.06/3,494.76
  6. Step 6: Final answer
    x = 2,123.21

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1.5x scale

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.