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Finding the Fourth Proportional to 3,806.48, 5,703.96 and 2,574.56

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Solution

The fourth proportional to 3,806.48, 5,703.96 and 2,574.56 is: 3,857.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.48 : 5,703.96 = 2,574.56 : x
  2. Step 2: Convert to fraction form
    3,806.48/5,703.96 = 2,574.56/x
  3. Step 3: Cross multiply
    3,806.48x = 5,703.96 × 2,574.56
  4. Step 4: Simplify right side
    3,806.48x = 14,685,187.26
  5. Step 5: Solve for x
    x = 14,685,187.26/3,806.48
  6. Step 6: Final answer
    x = 3,857.94

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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.