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Finding the Fourth Proportional to 3,809.76, 5,258.16 and 2,216.62

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Solution

The fourth proportional to 3,809.76, 5,258.16 and 2,216.62 is: 3,059.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.76 : 5,258.16 = 2,216.62 : x
  2. Step 2: Convert to fraction form
    3,809.76/5,258.16 = 2,216.62/x
  3. Step 3: Cross multiply
    3,809.76x = 5,258.16 × 2,216.62
  4. Step 4: Simplify right side
    3,809.76x = 11,655,342.62
  5. Step 5: Solve for x
    x = 11,655,342.62/3,809.76
  6. Step 6: Final answer
    x = 3,059.34

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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.