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Finding the Fourth Proportional to 3,657.69, 5,475.96 and 2,266.83

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Solution

The fourth proportional to 3,657.69, 5,475.96 and 2,266.83 is: 3,393.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657.69 : 5,475.96 = 2,266.83 : x
  2. Step 2: Convert to fraction form
    3,657.69/5,475.96 = 2,266.83/x
  3. Step 3: Cross multiply
    3,657.69x = 5,475.96 × 2,266.83
  4. Step 4: Simplify right side
    3,657.69x = 12,413,070.41
  5. Step 5: Solve for x
    x = 12,413,070.41/3,657.69
  6. Step 6: Final answer
    x = 3,393.69

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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.