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Finding the Fourth Proportional to 3,774.88, 5,659.44 and 2,404

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Solution

The fourth proportional to 3,774.88, 5,659.44 and 2,404 is: 3,604.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,774.88 : 5,659.44 = 2,404 : x
  2. Step 2: Convert to fraction form
    3,774.88/5,659.44 = 2,404/x
  3. Step 3: Cross multiply
    3,774.88x = 5,659.44 × 2,404
  4. Step 4: Simplify right side
    3,774.88x = 13,605,293.76
  5. Step 5: Solve for x
    x = 13,605,293.76/3,774.88
  6. Step 6: Final answer
    x = 3,604.17

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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.