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Finding the Fourth Proportional to 3,895.16, 5,842.78 and 1,814.57

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Solution

The fourth proportional to 3,895.16, 5,842.78 and 1,814.57 is: 2,721.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,895.16 : 5,842.78 = 1,814.57 : x
  2. Step 2: Convert to fraction form
    3,895.16/5,842.78 = 1,814.57/x
  3. Step 3: Cross multiply
    3,895.16x = 5,842.78 × 1,814.57
  4. Step 4: Simplify right side
    3,895.16x = 10,602,099.55
  5. Step 5: Solve for x
    x = 10,602,099.55/3,895.16
  6. Step 6: Final answer
    x = 2,721.87

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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.