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Finding the Fourth Proportional to 5,414.76, 7,472.16 and 3,056.76

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Solution

The fourth proportional to 5,414.76, 7,472.16 and 3,056.76 is: 4,218.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,414.76 : 7,472.16 = 3,056.76 : x
  2. Step 2: Convert to fraction form
    5,414.76/7,472.16 = 3,056.76/x
  3. Step 3: Cross multiply
    5,414.76x = 7,472.16 × 3,056.76
  4. Step 4: Simplify right side
    5,414.76x = 22,840,599.80
  5. Step 5: Solve for x
    x = 22,840,599.80/5,414.76
  6. Step 6: Final answer
    x = 4,218.21

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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.