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Finding the Fourth Proportional to 3,708.62, 5,117.50 and 2,216

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Solution

The fourth proportional to 3,708.62, 5,117.50 and 2,216 is: 3,057.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,708.62 : 5,117.50 = 2,216 : x
  2. Step 2: Convert to fraction form
    3,708.62/5,117.50 = 2,216/x
  3. Step 3: Cross multiply
    3,708.62x = 5,117.50 × 2,216
  4. Step 4: Simplify right side
    3,708.62x = 11,340,380
  5. Step 5: Solve for x
    x = 11,340,380/3,708.62
  6. Step 6: Final answer
    x = 3,057.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.