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Finding the Fourth Proportional to 3,905.81, 5,391.15 and 2,228.12

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Solution

The fourth proportional to 3,905.81, 5,391.15 and 2,228.12 is: 3,075.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,905.81 : 5,391.15 = 2,228.12 : x
  2. Step 2: Convert to fraction form
    3,905.81/5,391.15 = 2,228.12/x
  3. Step 3: Cross multiply
    3,905.81x = 5,391.15 × 2,228.12
  4. Step 4: Simplify right side
    3,905.81x = 12,012,129.14
  5. Step 5: Solve for x
    x = 12,012,129.14/3,905.81
  6. Step 6: Final answer
    x = 3,075.45

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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.