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Finding the Fourth Proportional to 4,842.72, 7,215.39 and 4,524.48

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Solution

The fourth proportional to 4,842.72, 7,215.39 and 4,524.48 is: 6,741.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,842.72 : 7,215.39 = 4,524.48 : x
  2. Step 2: Convert to fraction form
    4,842.72/7,215.39 = 4,524.48/x
  3. Step 3: Cross multiply
    4,842.72x = 7,215.39 × 4,524.48
  4. Step 4: Simplify right side
    4,842.72x = 32,645,887.75
  5. Step 5: Solve for x
    x = 32,645,887.75/4,842.72
  6. Step 6: Final answer
    x = 6,741.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.