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Finding the Fourth Proportional to 3,861.57, 5,328.99 and 2,093.16

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Solution

The fourth proportional to 3,861.57, 5,328.99 and 2,093.16 is: 2,888.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,861.57 : 5,328.99 = 2,093.16 : x
  2. Step 2: Convert to fraction form
    3,861.57/5,328.99 = 2,093.16/x
  3. Step 3: Cross multiply
    3,861.57x = 5,328.99 × 2,093.16
  4. Step 4: Simplify right side
    3,861.57x = 11,154,418.24
  5. Step 5: Solve for x
    x = 11,154,418.24/3,861.57
  6. Step 6: Final answer
    x = 2,888.57

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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.