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Finding the Fourth Proportional to 3,895.68, 5,376.74 and 2,323.88

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Solution

The fourth proportional to 3,895.68, 5,376.74 and 2,323.88 is: 3,207.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,895.68 : 5,376.74 = 2,323.88 : x
  2. Step 2: Convert to fraction form
    3,895.68/5,376.74 = 2,323.88/x
  3. Step 3: Cross multiply
    3,895.68x = 5,376.74 × 2,323.88
  4. Step 4: Simplify right side
    3,895.68x = 12,494,898.55
  5. Step 5: Solve for x
    x = 12,494,898.55/3,895.68
  6. Step 6: Final answer
    x = 3,207.37

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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.