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Finding the Fourth Proportional to 3,346.94, 4,616.04 and 2,228.32

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Solution

The fourth proportional to 3,346.94, 4,616.04 and 2,228.32 is: 3,073.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,346.94 : 4,616.04 = 2,228.32 : x
  2. Step 2: Convert to fraction form
    3,346.94/4,616.04 = 2,228.32/x
  3. Step 3: Cross multiply
    3,346.94x = 4,616.04 × 2,228.32
  4. Step 4: Simplify right side
    3,346.94x = 10,286,014.25
  5. Step 5: Solve for x
    x = 10,286,014.25/3,346.94
  6. Step 6: Final answer
    x = 3,073.26

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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.