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Finding the Fourth Proportional to 5,677.52, 7,842.48 and 4,736.42

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Solution

The fourth proportional to 5,677.52, 7,842.48 and 4,736.42 is: 6,542.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,677.52 : 7,842.48 = 4,736.42 : x
  2. Step 2: Convert to fraction form
    5,677.52/7,842.48 = 4,736.42/x
  3. Step 3: Cross multiply
    5,677.52x = 7,842.48 × 4,736.42
  4. Step 4: Simplify right side
    5,677.52x = 37,145,251.56
  5. Step 5: Solve for x
    x = 37,145,251.56/5,677.52
  6. Step 6: Final answer
    x = 6,542.52

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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.