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Finding the Fourth Proportional to 5,310.70, 7,969.65 and 3,457.30

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Solution

The fourth proportional to 5,310.70, 7,969.65 and 3,457.30 is: 5,188.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,310.70 : 7,969.65 = 3,457.30 : x
  2. Step 2: Convert to fraction form
    5,310.70/7,969.65 = 3,457.30/x
  3. Step 3: Cross multiply
    5,310.70x = 7,969.65 × 3,457.30
  4. Step 4: Simplify right side
    5,310.70x = 27,553,470.95
  5. Step 5: Solve for x
    x = 27,553,470.95/5,310.70
  6. Step 6: Final answer
    x = 5,188.29

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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.