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Finding the Fourth Proportional to 3,499.77, 5,249.65 and 902.71

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Solution

The fourth proportional to 3,499.77, 5,249.65 and 902.71 is: 1,354.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,499.77 : 5,249.65 = 902.71 : x
  2. Step 2: Convert to fraction form
    3,499.77/5,249.65 = 902.71/x
  3. Step 3: Cross multiply
    3,499.77x = 5,249.65 × 902.71
  4. Step 4: Simplify right side
    3,499.77x = 4,738,899.85
  5. Step 5: Solve for x
    x = 4,738,899.85/3,499.77
  6. Step 6: Final answer
    x = 1,354.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.