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Finding the Fourth Proportional to 3,984.99, 5,977.62 and 2,035.68

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Solution

The fourth proportional to 3,984.99, 5,977.62 and 2,035.68 is: 3,053.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,984.99 : 5,977.62 = 2,035.68 : x
  2. Step 2: Convert to fraction form
    3,984.99/5,977.62 = 2,035.68/x
  3. Step 3: Cross multiply
    3,984.99x = 5,977.62 × 2,035.68
  4. Step 4: Simplify right side
    3,984.99x = 12,168,521.48
  5. Step 5: Solve for x
    x = 12,168,521.48/3,984.99
  6. Step 6: Final answer
    x = 3,053.59

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1.5x scale

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.