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Finding the Fourth Proportional to 3,422.92, 4,728.24 and 2,646.76

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Solution

The fourth proportional to 3,422.92, 4,728.24 and 2,646.76 is: 3,656.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,422.92 : 4,728.24 = 2,646.76 : x
  2. Step 2: Convert to fraction form
    3,422.92/4,728.24 = 2,646.76/x
  3. Step 3: Cross multiply
    3,422.92x = 4,728.24 × 2,646.76
  4. Step 4: Simplify right side
    3,422.92x = 12,514,516.50
  5. Step 5: Solve for x
    x = 12,514,516.50/3,422.92
  6. Step 6: Final answer
    x = 3,656.09

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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.