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Finding the Fourth Proportional to 5,708.68, 8,546.51 and 3,510.74

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Solution

The fourth proportional to 5,708.68, 8,546.51 and 3,510.74 is: 5,255.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,708.68 : 8,546.51 = 3,510.74 : x
  2. Step 2: Convert to fraction form
    5,708.68/8,546.51 = 3,510.74/x
  3. Step 3: Cross multiply
    5,708.68x = 8,546.51 × 3,510.74
  4. Step 4: Simplify right side
    5,708.68x = 30,004,604.66
  5. Step 5: Solve for x
    x = 30,004,604.66/5,708.68
  6. Step 6: Final answer
    x = 5,255.96

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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.