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Finding the Fourth Proportional to 3,361.74, 5,040.23 and 1,281.84

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Solution

The fourth proportional to 3,361.74, 5,040.23 and 1,281.84 is: 1,921.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,361.74 : 5,040.23 = 1,281.84 : x
  2. Step 2: Convert to fraction form
    3,361.74/5,040.23 = 1,281.84/x
  3. Step 3: Cross multiply
    3,361.74x = 5,040.23 × 1,281.84
  4. Step 4: Simplify right side
    3,361.74x = 6,460,762.01
  5. Step 5: Solve for x
    x = 6,460,762.01/3,361.74
  6. Step 6: Final answer
    x = 1,921.85

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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.