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Finding the Fourth Proportional to 6,274.71, 8,659.26 and 3,442.21

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Solution

The fourth proportional to 6,274.71, 8,659.26 and 3,442.21 is: 4,750.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,274.71 : 8,659.26 = 3,442.21 : x
  2. Step 2: Convert to fraction form
    6,274.71/8,659.26 = 3,442.21/x
  3. Step 3: Cross multiply
    6,274.71x = 8,659.26 × 3,442.21
  4. Step 4: Simplify right side
    6,274.71x = 29,806,948.07
  5. Step 5: Solve for x
    x = 29,806,948.07/6,274.71
  6. Step 6: Final answer
    x = 4,750.33

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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.