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Finding the Fourth Proportional to 5,864.57, 8,093.49 and 3,849.19

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Solution

The fourth proportional to 5,864.57, 8,093.49 and 3,849.19 is: 5,312.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,864.57 : 8,093.49 = 3,849.19 : x
  2. Step 2: Convert to fraction form
    5,864.57/8,093.49 = 3,849.19/x
  3. Step 3: Cross multiply
    5,864.57x = 8,093.49 × 3,849.19
  4. Step 4: Simplify right side
    5,864.57x = 31,153,346.10
  5. Step 5: Solve for x
    x = 31,153,346.10/5,864.57
  6. Step 6: Final answer
    x = 5,312.13

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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.