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Finding the Fourth Proportional to 5,434.78, 8,148.89 and 2,966.17

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Solution

The fourth proportional to 5,434.78, 8,148.89 and 2,966.17 is: 4,447.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,434.78 : 8,148.89 = 2,966.17 : x
  2. Step 2: Convert to fraction form
    5,434.78/8,148.89 = 2,966.17/x
  3. Step 3: Cross multiply
    5,434.78x = 8,148.89 × 2,966.17
  4. Step 4: Simplify right side
    5,434.78x = 24,170,993.05
  5. Step 5: Solve for x
    x = 24,170,993.05/5,434.78
  6. Step 6: Final answer
    x = 4,447.46

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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.