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Finding the Fourth Proportional to 3,968.64, 5,470.38 and 3,128.00

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Solution

The fourth proportional to 3,968.64, 5,470.38 and 3,128.00 is: 4,311.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,968.64 : 5,470.38 = 3,128.00 : x
  2. Step 2: Convert to fraction form
    3,968.64/5,470.38 = 3,128.00/x
  3. Step 3: Cross multiply
    3,968.64x = 5,470.38 × 3,128.00
  4. Step 4: Simplify right side
    3,968.64x = 17,111,321.29
  5. Step 5: Solve for x
    x = 17,111,321.29/3,968.64
  6. Step 6: Final answer
    x = 4,311.63

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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.