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Finding the Fourth Proportional to 4,860, 6,706.62 and 2,735.57

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Solution

The fourth proportional to 4,860, 6,706.62 and 2,735.57 is: 3,774.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,860 : 6,706.62 = 2,735.57 : x
  2. Step 2: Convert to fraction form
    4,860/6,706.62 = 2,735.57/x
  3. Step 3: Cross multiply
    4,860x = 6,706.62 × 2,735.57
  4. Step 4: Simplify right side
    4,860x = 18,346,394.94
  5. Step 5: Solve for x
    x = 18,346,394.94/4,860
  6. Step 6: Final answer
    x = 3,774.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.