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Finding the Fourth Proportional to 3,468.04, 4,785.78 and 2,069.96

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Solution

The fourth proportional to 3,468.04, 4,785.78 and 2,069.96 is: 2,856.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,468.04 : 4,785.78 = 2,069.96 : x
  2. Step 2: Convert to fraction form
    3,468.04/4,785.78 = 2,069.96/x
  3. Step 3: Cross multiply
    3,468.04x = 4,785.78 × 2,069.96
  4. Step 4: Simplify right side
    3,468.04x = 9,906,373.17
  5. Step 5: Solve for x
    x = 9,906,373.17/3,468.04
  6. Step 6: Final answer
    x = 2,856.48

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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.