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Finding the Fourth Proportional to 4,225.76, 6,340.49 and 2,275.68

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Solution

The fourth proportional to 4,225.76, 6,340.49 and 2,275.68 is: 3,414.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,225.76 : 6,340.49 = 2,275.68 : x
  2. Step 2: Convert to fraction form
    4,225.76/6,340.49 = 2,275.68/x
  3. Step 3: Cross multiply
    4,225.76x = 6,340.49 × 2,275.68
  4. Step 4: Simplify right side
    4,225.76x = 14,428,926.28
  5. Step 5: Solve for x
    x = 14,428,926.28/4,225.76
  6. Step 6: Final answer
    x = 3,414.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.