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Finding the Fourth Proportional to 5,706.18, 8,556.84 and 2,241

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Solution

The fourth proportional to 5,706.18, 8,556.84 and 2,241 is: 3,360.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,706.18 : 8,556.84 = 2,241 : x
  2. Step 2: Convert to fraction form
    5,706.18/8,556.84 = 2,241/x
  3. Step 3: Cross multiply
    5,706.18x = 8,556.84 × 2,241
  4. Step 4: Simplify right side
    5,706.18x = 19,175,878.44
  5. Step 5: Solve for x
    x = 19,175,878.44/5,706.18
  6. Step 6: Final answer
    x = 3,360.55

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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.