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Finding the Fourth Proportional to 4,860, 6,706.80 and 3,466.80

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Solution

The fourth proportional to 4,860, 6,706.80 and 3,466.80 is: 4,784.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,860 : 6,706.80 = 3,466.80 : x
  2. Step 2: Convert to fraction form
    4,860/6,706.80 = 3,466.80/x
  3. Step 3: Cross multiply
    4,860x = 6,706.80 × 3,466.80
  4. Step 4: Simplify right side
    4,860x = 23,251,134.24
  5. Step 5: Solve for x
    x = 23,251,134.24/4,860
  6. Step 6: Final answer
    x = 4,784.18

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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.