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Finding the Fourth Proportional to 3,814.90, 5,726.05 and 1,841.92

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Solution

The fourth proportional to 3,814.90, 5,726.05 and 1,841.92 is: 2,764.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,814.90 : 5,726.05 = 1,841.92 : x
  2. Step 2: Convert to fraction form
    3,814.90/5,726.05 = 1,841.92/x
  3. Step 3: Cross multiply
    3,814.90x = 5,726.05 × 1,841.92
  4. Step 4: Simplify right side
    3,814.90x = 10,546,907.10
  5. Step 5: Solve for x
    x = 10,546,907.10/3,814.90
  6. Step 6: Final answer
    x = 2,764.66

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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.