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Finding the Fourth Proportional to 4,932, 6,806.16 and 2,724

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Solution

The fourth proportional to 4,932, 6,806.16 and 2,724 is: 3,759.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,932 : 6,806.16 = 2,724 : x
  2. Step 2: Convert to fraction form
    4,932/6,806.16 = 2,724/x
  3. Step 3: Cross multiply
    4,932x = 6,806.16 × 2,724
  4. Step 4: Simplify right side
    4,932x = 18,539,979.84
  5. Step 5: Solve for x
    x = 18,539,979.84/4,932
  6. Step 6: Final answer
    x = 3,759.12

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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.