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Finding the Fourth Proportional to 3,468.28, 4,786.32 and 2,071.84

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Solution

The fourth proportional to 3,468.28, 4,786.32 and 2,071.84 is: 2,859.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,468.28 : 4,786.32 = 2,071.84 : x
  2. Step 2: Convert to fraction form
    3,468.28/4,786.32 = 2,071.84/x
  3. Step 3: Cross multiply
    3,468.28x = 4,786.32 × 2,071.84
  4. Step 4: Simplify right side
    3,468.28x = 9,916,489.23
  5. Step 5: Solve for x
    x = 9,916,489.23/3,468.28
  6. Step 6: Final answer
    x = 2,859.20

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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.