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Finding the Fourth Proportional to 3,904.34, 5,388.08 and 2,225.84

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Solution

The fourth proportional to 3,904.34, 5,388.08 and 2,225.84 is: 3,071.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,904.34 : 5,388.08 = 2,225.84 : x
  2. Step 2: Convert to fraction form
    3,904.34/5,388.08 = 2,225.84/x
  3. Step 3: Cross multiply
    3,904.34x = 5,388.08 × 2,225.84
  4. Step 4: Simplify right side
    3,904.34x = 11,992,965.92
  5. Step 5: Solve for x
    x = 11,992,965.92/3,904.34
  6. Step 6: Final answer
    x = 3,071.71

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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.