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Finding the Fourth Proportional to 5,241.18, 7,856.79 and 1,952.02

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Solution

The fourth proportional to 5,241.18, 7,856.79 and 1,952.02 is: 2,926.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,241.18 : 7,856.79 = 1,952.02 : x
  2. Step 2: Convert to fraction form
    5,241.18/7,856.79 = 1,952.02/x
  3. Step 3: Cross multiply
    5,241.18x = 7,856.79 × 1,952.02
  4. Step 4: Simplify right side
    5,241.18x = 15,336,611.22
  5. Step 5: Solve for x
    x = 15,336,611.22/5,241.18
  6. Step 6: Final answer
    x = 2,926.18

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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.