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Finding the Fourth Proportional to 3,499.61, 5,249.41 and 3,285.77

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Solution

The fourth proportional to 3,499.61, 5,249.41 and 3,285.77 is: 4,928.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,499.61 : 5,249.41 = 3,285.77 : x
  2. Step 2: Convert to fraction form
    3,499.61/5,249.41 = 3,285.77/x
  3. Step 3: Cross multiply
    3,499.61x = 5,249.41 × 3,285.77
  4. Step 4: Simplify right side
    3,499.61x = 17,248,319.43
  5. Step 5: Solve for x
    x = 17,248,319.43/3,499.61
  6. Step 6: Final answer
    x = 4,928.65

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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.