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Finding the Fourth Proportional to 3,806.46, 5,708.93 and 1,341.23

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Solution

The fourth proportional to 3,806.46, 5,708.93 and 1,341.23 is: 2,011.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.46 : 5,708.93 = 1,341.23 : x
  2. Step 2: Convert to fraction form
    3,806.46/5,708.93 = 1,341.23/x
  3. Step 3: Cross multiply
    3,806.46x = 5,708.93 × 1,341.23
  4. Step 4: Simplify right side
    3,806.46x = 7,656,952.93
  5. Step 5: Solve for x
    x = 7,656,952.93/3,806.46
  6. Step 6: Final answer
    x = 2,011.57

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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.