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Finding the Fourth Proportional to 4,680.78, 6,466.12 and 3,742.80

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Solution

The fourth proportional to 4,680.78, 6,466.12 and 3,742.80 is: 5,170.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,680.78 : 6,466.12 = 3,742.80 : x
  2. Step 2: Convert to fraction form
    4,680.78/6,466.12 = 3,742.80/x
  3. Step 3: Cross multiply
    4,680.78x = 6,466.12 × 3,742.80
  4. Step 4: Simplify right side
    4,680.78x = 24,201,393.94
  5. Step 5: Solve for x
    x = 24,201,393.94/4,680.78
  6. Step 6: Final answer
    x = 5,170.38

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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.