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Finding the Fourth Proportional to 3,773.09, 5,659.49 and 999.77

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Solution

The fourth proportional to 3,773.09, 5,659.49 and 999.77 is: 1,499.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,773.09 : 5,659.49 = 999.77 : x
  2. Step 2: Convert to fraction form
    3,773.09/5,659.49 = 999.77/x
  3. Step 3: Cross multiply
    3,773.09x = 5,659.49 × 999.77
  4. Step 4: Simplify right side
    3,773.09x = 5,658,155.02
  5. Step 5: Solve for x
    x = 5,658,155.02/3,773.09
  6. Step 6: Final answer
    x = 1,499.61

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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.