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Finding the Fourth Proportional to 6,274.68, 8,659.29 and 3,442.17

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Solution

The fourth proportional to 6,274.68, 8,659.29 and 3,442.17 is: 4,750.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,274.68 : 8,659.29 = 3,442.17 : x
  2. Step 2: Convert to fraction form
    6,274.68/8,659.29 = 3,442.17/x
  3. Step 3: Cross multiply
    6,274.68x = 8,659.29 × 3,442.17
  4. Step 4: Simplify right side
    6,274.68x = 29,806,735.22
  5. Step 5: Solve for x
    x = 29,806,735.22/6,274.68
  6. Step 6: Final answer
    x = 4,750.32

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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.