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Finding the Fourth Proportional to 3,393.10, 5,089.47 and 1,084.42

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Solution

The fourth proportional to 3,393.10, 5,089.47 and 1,084.42 is: 1,626.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,393.10 : 5,089.47 = 1,084.42 : x
  2. Step 2: Convert to fraction form
    3,393.10/5,089.47 = 1,084.42/x
  3. Step 3: Cross multiply
    3,393.10x = 5,089.47 × 1,084.42
  4. Step 4: Simplify right side
    3,393.10x = 5,519,123.06
  5. Step 5: Solve for x
    x = 5,519,123.06/3,393.10
  6. Step 6: Final answer
    x = 1,626.57

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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.