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Finding the Fourth Proportional to 3,402.62, 5,103.93 and 1,211.34

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Solution

The fourth proportional to 3,402.62, 5,103.93 and 1,211.34 is: 1,817.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402.62 : 5,103.93 = 1,211.34 : x
  2. Step 2: Convert to fraction form
    3,402.62/5,103.93 = 1,211.34/x
  3. Step 3: Cross multiply
    3,402.62x = 5,103.93 × 1,211.34
  4. Step 4: Simplify right side
    3,402.62x = 6,182,594.57
  5. Step 5: Solve for x
    x = 6,182,594.57/3,402.62
  6. Step 6: Final answer
    x = 1,817.01

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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.