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Finding the Fourth Proportional to 3,361.17, 5,040.23 and 1,412.31

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Solution

The fourth proportional to 3,361.17, 5,040.23 and 1,412.31 is: 2,117.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,361.17 : 5,040.23 = 1,412.31 : x
  2. Step 2: Convert to fraction form
    3,361.17/5,040.23 = 1,412.31/x
  3. Step 3: Cross multiply
    3,361.17x = 5,040.23 × 1,412.31
  4. Step 4: Simplify right side
    3,361.17x = 7,118,360.17
  5. Step 5: Solve for x
    x = 7,118,360.17/3,361.17
  6. Step 6: Final answer
    x = 2,117.82

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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.