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Finding the Fourth Proportional to 3,499.83, 5,249.88 and 902.77

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Solution

The fourth proportional to 3,499.83, 5,249.88 and 902.77 is: 1,354.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,499.83 : 5,249.88 = 902.77 : x
  2. Step 2: Convert to fraction form
    3,499.83/5,249.88 = 902.77/x
  3. Step 3: Cross multiply
    3,499.83x = 5,249.88 × 902.77
  4. Step 4: Simplify right side
    3,499.83x = 4,739,421.04
  5. Step 5: Solve for x
    x = 4,739,421.04/3,499.83
  6. Step 6: Final answer
    x = 1,354.19

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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.