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Finding the Fourth Proportional to 3,456.72, 4,766.50 and 2,335.71

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Solution

The fourth proportional to 3,456.72, 4,766.50 and 2,335.71 is: 3,220.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,456.72 : 4,766.50 = 2,335.71 : x
  2. Step 2: Convert to fraction form
    3,456.72/4,766.50 = 2,335.71/x
  3. Step 3: Cross multiply
    3,456.72x = 4,766.50 × 2,335.71
  4. Step 4: Simplify right side
    3,456.72x = 11,133,182.51
  5. Step 5: Solve for x
    x = 11,133,182.51/3,456.72
  6. Step 6: Final answer
    x = 3,220.74

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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.