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Finding the Fourth Proportional to 4,542.72, 6,809.76 and 1,944

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Solution

The fourth proportional to 4,542.72, 6,809.76 and 1,944 is: 2,914.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,542.72 : 6,809.76 = 1,944 : x
  2. Step 2: Convert to fraction form
    4,542.72/6,809.76 = 1,944/x
  3. Step 3: Cross multiply
    4,542.72x = 6,809.76 × 1,944
  4. Step 4: Simplify right side
    4,542.72x = 13,238,173.44
  5. Step 5: Solve for x
    x = 13,238,173.44/4,542.72
  6. Step 6: Final answer
    x = 2,914.15

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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.