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Finding the Fourth Proportional to 4,706.62, 7,057.05 and 1,781.80

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Solution

The fourth proportional to 4,706.62, 7,057.05 and 1,781.80 is: 2,671.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.62 : 7,057.05 = 1,781.80 : x
  2. Step 2: Convert to fraction form
    4,706.62/7,057.05 = 1,781.80/x
  3. Step 3: Cross multiply
    4,706.62x = 7,057.05 × 1,781.80
  4. Step 4: Simplify right side
    4,706.62x = 12,574,251.69
  5. Step 5: Solve for x
    x = 12,574,251.69/4,706.62
  6. Step 6: Final answer
    x = 2,671.61

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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.