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Finding the Fourth Proportional to 3,806.16, 5,252.84 and 2,313.72

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Solution

The fourth proportional to 3,806.16, 5,252.84 and 2,313.72 is: 3,193.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.16 : 5,252.84 = 2,313.72 : x
  2. Step 2: Convert to fraction form
    3,806.16/5,252.84 = 2,313.72/x
  3. Step 3: Cross multiply
    3,806.16x = 5,252.84 × 2,313.72
  4. Step 4: Simplify right side
    3,806.16x = 12,153,600.96
  5. Step 5: Solve for x
    x = 12,153,600.96/3,806.16
  6. Step 6: Final answer
    x = 3,193.14

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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.