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Finding the Fourth Proportional to 3,343.84, 5,016.42 and 1,003.96

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Solution

The fourth proportional to 3,343.84, 5,016.42 and 1,003.96 is: 1,506.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,343.84 : 5,016.42 = 1,003.96 : x
  2. Step 2: Convert to fraction form
    3,343.84/5,016.42 = 1,003.96/x
  3. Step 3: Cross multiply
    3,343.84x = 5,016.42 × 1,003.96
  4. Step 4: Simplify right side
    3,343.84x = 5,036,285.02
  5. Step 5: Solve for x
    x = 5,036,285.02/3,343.84
  6. Step 6: Final answer
    x = 1,506.14

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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.