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Finding the Fourth Proportional to 5,299.28, 7,310.88 and 3,410.50

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Solution

The fourth proportional to 5,299.28, 7,310.88 and 3,410.50 is: 4,705.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,299.28 : 7,310.88 = 3,410.50 : x
  2. Step 2: Convert to fraction form
    5,299.28/7,310.88 = 3,410.50/x
  3. Step 3: Cross multiply
    5,299.28x = 7,310.88 × 3,410.50
  4. Step 4: Simplify right side
    5,299.28x = 24,933,756.24
  5. Step 5: Solve for x
    x = 24,933,756.24/5,299.28
  6. Step 6: Final answer
    x = 4,705.12

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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.