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Finding the Fourth Proportional to 4,486.88, 6,724.17 and 2,291.02

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Solution

The fourth proportional to 4,486.88, 6,724.17 and 2,291.02 is: 3,433.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,486.88 : 6,724.17 = 2,291.02 : x
  2. Step 2: Convert to fraction form
    4,486.88/6,724.17 = 2,291.02/x
  3. Step 3: Cross multiply
    4,486.88x = 6,724.17 × 2,291.02
  4. Step 4: Simplify right side
    4,486.88x = 15,405,191.14
  5. Step 5: Solve for x
    x = 15,405,191.14/4,486.88
  6. Step 6: Final answer
    x = 3,433.38

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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.