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Finding the Fourth Proportional to 5,919.54, 8,879.79 and 1,970.66

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Solution

The fourth proportional to 5,919.54, 8,879.79 and 1,970.66 is: 2,956.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,919.54 : 8,879.79 = 1,970.66 : x
  2. Step 2: Convert to fraction form
    5,919.54/8,879.79 = 1,970.66/x
  3. Step 3: Cross multiply
    5,919.54x = 8,879.79 × 1,970.66
  4. Step 4: Simplify right side
    5,919.54x = 17,499,002.56
  5. Step 5: Solve for x
    x = 17,499,002.56/5,919.54
  6. Step 6: Final answer
    x = 2,956.14

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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.