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Finding the Fourth Proportional to 4,542.40, 6,294.82 and 4,454.92

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Solution

The fourth proportional to 4,542.40, 6,294.82 and 4,454.92 is: 6,173.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,542.40 : 6,294.82 = 4,454.92 : x
  2. Step 2: Convert to fraction form
    4,542.40/6,294.82 = 4,454.92/x
  3. Step 3: Cross multiply
    4,542.40x = 6,294.82 × 4,454.92
  4. Step 4: Simplify right side
    4,542.40x = 28,042,919.51
  5. Step 5: Solve for x
    x = 28,042,919.51/4,542.40
  6. Step 6: Final answer
    x = 6,173.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.