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Finding the Fourth Proportional to 5,299.08, 7,311.78 and 3,435

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Solution

The fourth proportional to 5,299.08, 7,311.78 and 3,435 is: 4,739.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,299.08 : 7,311.78 = 3,435 : x
  2. Step 2: Convert to fraction form
    5,299.08/7,311.78 = 3,435/x
  3. Step 3: Cross multiply
    5,299.08x = 7,311.78 × 3,435
  4. Step 4: Simplify right side
    5,299.08x = 25,115,964.30
  5. Step 5: Solve for x
    x = 25,115,964.30/5,299.08
  6. Step 6: Final answer
    x = 4,739.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.