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Finding the Fourth Proportional to 3,952.10, 5,927.29 and 1,611.50

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Solution

The fourth proportional to 3,952.10, 5,927.29 and 1,611.50 is: 2,416.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,952.10 : 5,927.29 = 1,611.50 : x
  2. Step 2: Convert to fraction form
    3,952.10/5,927.29 = 1,611.50/x
  3. Step 3: Cross multiply
    3,952.10x = 5,927.29 × 1,611.50
  4. Step 4: Simplify right side
    3,952.10x = 9,551,794.17
  5. Step 5: Solve for x
    x = 9,551,794.17/3,952.10
  6. Step 6: Final answer
    x = 2,416.89

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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.