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Finding the Fourth Proportional to 3,641.57, 5,027.67 and 2,522.10

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Solution

The fourth proportional to 3,641.57, 5,027.67 and 2,522.10 is: 3,482.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,641.57 : 5,027.67 = 2,522.10 : x
  2. Step 2: Convert to fraction form
    3,641.57/5,027.67 = 2,522.10/x
  3. Step 3: Cross multiply
    3,641.57x = 5,027.67 × 2,522.10
  4. Step 4: Simplify right side
    3,641.57x = 12,680,305.36
  5. Step 5: Solve for x
    x = 12,680,305.36/3,641.57
  6. Step 6: Final answer
    x = 3,482.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.