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Finding the Fourth Proportional to 3,968.03, 5,470.69 and 3,414.44

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Solution

The fourth proportional to 3,968.03, 5,470.69 and 3,414.44 is: 4,707.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,968.03 : 5,470.69 = 3,414.44 : x
  2. Step 2: Convert to fraction form
    3,968.03/5,470.69 = 3,414.44/x
  3. Step 3: Cross multiply
    3,968.03x = 5,470.69 × 3,414.44
  4. Step 4: Simplify right side
    3,968.03x = 18,679,342.76
  5. Step 5: Solve for x
    x = 18,679,342.76/3,968.03
  6. Step 6: Final answer
    x = 4,707.46

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1.5x scale

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.