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Finding the Fourth Proportional to 6,128.16, 8,456.68 and 3,475.68

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Solution

The fourth proportional to 6,128.16, 8,456.68 and 3,475.68 is: 4,796.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,128.16 : 8,456.68 = 3,475.68 : x
  2. Step 2: Convert to fraction form
    6,128.16/8,456.68 = 3,475.68/x
  3. Step 3: Cross multiply
    6,128.16x = 8,456.68 × 3,475.68
  4. Step 4: Simplify right side
    6,128.16x = 29,392,713.54
  5. Step 5: Solve for x
    x = 29,392,713.54/6,128.16
  6. Step 6: Final answer
    x = 4,796.34

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