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Finding the Fourth Proportional to 5,052.68, 6,976.04 and 3,287.28

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Solution

The fourth proportional to 5,052.68, 6,976.04 and 3,287.28 is: 4,538.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,052.68 : 6,976.04 = 3,287.28 : x
  2. Step 2: Convert to fraction form
    5,052.68/6,976.04 = 3,287.28/x
  3. Step 3: Cross multiply
    5,052.68x = 6,976.04 × 3,287.28
  4. Step 4: Simplify right side
    5,052.68x = 22,932,196.77
  5. Step 5: Solve for x
    x = 22,932,196.77/5,052.68
  6. Step 6: Final answer
    x = 4,538.62

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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.