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Finding the Fourth Proportional to 5,414.79, 7,472.41 and 3,056.93

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Solution

The fourth proportional to 5,414.79, 7,472.41 and 3,056.93 is: 4,218.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,414.79 : 7,472.41 = 3,056.93 : x
  2. Step 2: Convert to fraction form
    5,414.79/7,472.41 = 3,056.93/x
  3. Step 3: Cross multiply
    5,414.79x = 7,472.41 × 3,056.93
  4. Step 4: Simplify right side
    5,414.79x = 22,842,634.30
  5. Step 5: Solve for x
    x = 22,842,634.30/5,414.79
  6. Step 6: Final answer
    x = 4,218.56

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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.