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Finding the Fourth Proportional to 3,783.99, 5,676.03 and 1,151.93

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Solution

The fourth proportional to 3,783.99, 5,676.03 and 1,151.93 is: 1,727.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783.99 : 5,676.03 = 1,151.93 : x
  2. Step 2: Convert to fraction form
    3,783.99/5,676.03 = 1,151.93/x
  3. Step 3: Cross multiply
    3,783.99x = 5,676.03 × 1,151.93
  4. Step 4: Simplify right side
    3,783.99x = 6,538,360.86
  5. Step 5: Solve for x
    x = 6,538,360.86/3,783.99
  6. Step 6: Final answer
    x = 1,727.90

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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.