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Finding the Fourth Proportional to 3,525.70, 5,285.88 and 2,138.68

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Solution

The fourth proportional to 3,525.70, 5,285.88 and 2,138.68 is: 3,206.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,525.70 : 5,285.88 = 2,138.68 : x
  2. Step 2: Convert to fraction form
    3,525.70/5,285.88 = 2,138.68/x
  3. Step 3: Cross multiply
    3,525.70x = 5,285.88 × 2,138.68
  4. Step 4: Simplify right side
    3,525.70x = 11,304,805.84
  5. Step 5: Solve for x
    x = 11,304,805.84/3,525.70
  6. Step 6: Final answer
    x = 3,206.40

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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.