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Finding the Fourth Proportional to 3,902.22, 5,853.78 and 1,710.68

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Solution

The fourth proportional to 3,902.22, 5,853.78 and 1,710.68 is: 2,566.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.22 : 5,853.78 = 1,710.68 : x
  2. Step 2: Convert to fraction form
    3,902.22/5,853.78 = 1,710.68/x
  3. Step 3: Cross multiply
    3,902.22x = 5,853.78 × 1,710.68
  4. Step 4: Simplify right side
    3,902.22x = 10,013,915.10
  5. Step 5: Solve for x
    x = 10,013,915.10/3,902.22
  6. Step 6: Final answer
    x = 2,566.21

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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.