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Finding the Fourth Proportional to 3,839.59, 5,297.29 and 2,267.11

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Solution

The fourth proportional to 3,839.59, 5,297.29 and 2,267.11 is: 3,127.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,839.59 : 5,297.29 = 2,267.11 : x
  2. Step 2: Convert to fraction form
    3,839.59/5,297.29 = 2,267.11/x
  3. Step 3: Cross multiply
    3,839.59x = 5,297.29 × 2,267.11
  4. Step 4: Simplify right side
    3,839.59x = 12,009,539.13
  5. Step 5: Solve for x
    x = 12,009,539.13/3,839.59
  6. Step 6: Final answer
    x = 3,127.82

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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.