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Finding the Fourth Proportional to 4,843.68, 6,685.20 and 3,077.28

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Solution

The fourth proportional to 4,843.68, 6,685.20 and 3,077.28 is: 4,247.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,843.68 : 6,685.20 = 3,077.28 : x
  2. Step 2: Convert to fraction form
    4,843.68/6,685.20 = 3,077.28/x
  3. Step 3: Cross multiply
    4,843.68x = 6,685.20 × 3,077.28
  4. Step 4: Simplify right side
    4,843.68x = 20,572,232.26
  5. Step 5: Solve for x
    x = 20,572,232.26/4,843.68
  6. Step 6: Final answer
    x = 4,247.23

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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.