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Finding the Fourth Proportional to 4,967.20, 6,843.92 and 3,707.76

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Solution

The fourth proportional to 4,967.20, 6,843.92 and 3,707.76 is: 5,108.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,967.20 : 6,843.92 = 3,707.76 : x
  2. Step 2: Convert to fraction form
    4,967.20/6,843.92 = 3,707.76/x
  3. Step 3: Cross multiply
    4,967.20x = 6,843.92 × 3,707.76
  4. Step 4: Simplify right side
    4,967.20x = 25,375,612.82
  5. Step 5: Solve for x
    x = 25,375,612.82/4,967.20
  6. Step 6: Final answer
    x = 5,108.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.