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Finding the Fourth Proportional to 3,904.76, 5,388.06 and 2,226.20

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Solution

The fourth proportional to 3,904.76, 5,388.06 and 2,226.20 is: 3,071.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,904.76 : 5,388.06 = 2,226.20 : x
  2. Step 2: Convert to fraction form
    3,904.76/5,388.06 = 2,226.20/x
  3. Step 3: Cross multiply
    3,904.76x = 5,388.06 × 2,226.20
  4. Step 4: Simplify right side
    3,904.76x = 11,994,899.17
  5. Step 5: Solve for x
    x = 11,994,899.17/3,904.76
  6. Step 6: Final answer
    x = 3,071.87

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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.