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Finding the Fourth Proportional to 3,592.57, 5,394.52 and 2,138.21

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Solution

The fourth proportional to 3,592.57, 5,394.52 and 2,138.21 is: 3,210.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,592.57 : 5,394.52 = 2,138.21 : x
  2. Step 2: Convert to fraction form
    3,592.57/5,394.52 = 2,138.21/x
  3. Step 3: Cross multiply
    3,592.57x = 5,394.52 × 2,138.21
  4. Step 4: Simplify right side
    3,592.57x = 11,534,616.61
  5. Step 5: Solve for x
    x = 11,534,616.61/3,592.57
  6. Step 6: Final answer
    x = 3,210.69

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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.