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Finding the Fourth Proportional to 3,640.64, 5,460.91 and 2,567.65

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Solution

The fourth proportional to 3,640.64, 5,460.91 and 2,567.65 is: 3,851.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,640.64 : 5,460.91 = 2,567.65 : x
  2. Step 2: Convert to fraction form
    3,640.64/5,460.91 = 2,567.65/x
  3. Step 3: Cross multiply
    3,640.64x = 5,460.91 × 2,567.65
  4. Step 4: Simplify right side
    3,640.64x = 14,021,705.56
  5. Step 5: Solve for x
    x = 14,021,705.56/3,640.64
  6. Step 6: Final answer
    x = 3,851.44

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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.