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Finding the Fourth Proportional to 3,895.90, 5,375.97 and 2,323.69

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Solution

The fourth proportional to 3,895.90, 5,375.97 and 2,323.69 is: 3,206.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,895.90 : 5,375.97 = 2,323.69 : x
  2. Step 2: Convert to fraction form
    3,895.90/5,375.97 = 2,323.69/x
  3. Step 3: Cross multiply
    3,895.90x = 5,375.97 × 2,323.69
  4. Step 4: Simplify right side
    3,895.90x = 12,492,074.29
  5. Step 5: Solve for x
    x = 12,492,074.29/3,895.90
  6. Step 6: Final answer
    x = 3,206.47

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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.