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Finding the Fourth Proportional to 5,494.08, 8,242.08 and 2,416

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Solution

The fourth proportional to 5,494.08, 8,242.08 and 2,416 is: 3,624.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,494.08 : 8,242.08 = 2,416 : x
  2. Step 2: Convert to fraction form
    5,494.08/8,242.08 = 2,416/x
  3. Step 3: Cross multiply
    5,494.08x = 8,242.08 × 2,416
  4. Step 4: Simplify right side
    5,494.08x = 19,912,865.28
  5. Step 5: Solve for x
    x = 19,912,865.28/5,494.08
  6. Step 6: Final answer
    x = 3,624.42

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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.