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Finding the Fourth Proportional to 3,589.86, 5,384.82 and 992.82

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Solution

The fourth proportional to 3,589.86, 5,384.82 and 992.82 is: 1,489.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,589.86 : 5,384.82 = 992.82 : x
  2. Step 2: Convert to fraction form
    3,589.86/5,384.82 = 992.82/x
  3. Step 3: Cross multiply
    3,589.86x = 5,384.82 × 992.82
  4. Step 4: Simplify right side
    3,589.86x = 5,346,156.99
  5. Step 5: Solve for x
    x = 5,346,156.99/3,589.86
  6. Step 6: Final answer
    x = 1,489.24

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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.