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Finding the Fourth Proportional to 3,935.88, 5,905.44 and 2,204.46

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Solution

The fourth proportional to 3,935.88, 5,905.44 and 2,204.46 is: 3,307.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,935.88 : 5,905.44 = 2,204.46 : x
  2. Step 2: Convert to fraction form
    3,935.88/5,905.44 = 2,204.46/x
  3. Step 3: Cross multiply
    3,935.88x = 5,905.44 × 2,204.46
  4. Step 4: Simplify right side
    3,935.88x = 13,018,306.26
  5. Step 5: Solve for x
    x = 13,018,306.26/3,935.88
  6. Step 6: Final answer
    x = 3,307.60

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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.