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Finding the Fourth Proportional to 5,706.92, 8,559.69 and 1,546.67

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Solution

The fourth proportional to 5,706.92, 8,559.69 and 1,546.67 is: 2,319.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,706.92 : 8,559.69 = 1,546.67 : x
  2. Step 2: Convert to fraction form
    5,706.92/8,559.69 = 1,546.67/x
  3. Step 3: Cross multiply
    5,706.92x = 8,559.69 × 1,546.67
  4. Step 4: Simplify right side
    5,706.92x = 13,238,972.93
  5. Step 5: Solve for x
    x = 13,238,972.93/5,706.92
  6. Step 6: Final answer
    x = 2,319.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.