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Finding the Fourth Proportional to 5,518.80, 8,278 and 1,358.62

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Solution

The fourth proportional to 5,518.80, 8,278 and 1,358.62 is: 2,037.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,518.80 : 8,278 = 1,358.62 : x
  2. Step 2: Convert to fraction form
    5,518.80/8,278 = 1,358.62/x
  3. Step 3: Cross multiply
    5,518.80x = 8,278 × 1,358.62
  4. Step 4: Simplify right side
    5,518.80x = 11,246,656.36
  5. Step 5: Solve for x
    x = 11,246,656.36/5,518.80
  6. Step 6: Final answer
    x = 2,037.88

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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.