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Finding the Fourth Proportional to 3,841.34, 5,756.11 and 2,278.26

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Solution

The fourth proportional to 3,841.34, 5,756.11 and 2,278.26 is: 3,413.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,841.34 : 5,756.11 = 2,278.26 : x
  2. Step 2: Convert to fraction form
    3,841.34/5,756.11 = 2,278.26/x
  3. Step 3: Cross multiply
    3,841.34x = 5,756.11 × 2,278.26
  4. Step 4: Simplify right side
    3,841.34x = 13,113,909.47
  5. Step 5: Solve for x
    x = 13,113,909.47/3,841.34
  6. Step 6: Final answer
    x = 3,413.89

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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.