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Finding the Fourth Proportional to 3,905.30, 5,859.04 and 2,258.84

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Solution

The fourth proportional to 3,905.30, 5,859.04 and 2,258.84 is: 3,388.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,905.30 : 5,859.04 = 2,258.84 : x
  2. Step 2: Convert to fraction form
    3,905.30/5,859.04 = 2,258.84/x
  3. Step 3: Cross multiply
    3,905.30x = 5,859.04 × 2,258.84
  4. Step 4: Simplify right side
    3,905.30x = 13,234,633.91
  5. Step 5: Solve for x
    x = 13,234,633.91/3,905.30
  6. Step 6: Final answer
    x = 3,388.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.