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Finding the Fourth Proportional to 4,511.71, 6,780.32 and 2,663.69

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Solution

The fourth proportional to 4,511.71, 6,780.32 and 2,663.69 is: 4,003.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,511.71 : 6,780.32 = 2,663.69 : x
  2. Step 2: Convert to fraction form
    4,511.71/6,780.32 = 2,663.69/x
  3. Step 3: Cross multiply
    4,511.71x = 6,780.32 × 2,663.69
  4. Step 4: Simplify right side
    4,511.71x = 18,060,657.26
  5. Step 5: Solve for x
    x = 18,060,657.26/4,511.71
  6. Step 6: Final answer
    x = 4,003.07

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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.