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Finding the Fourth Proportional to 5,952.10, 8,209.13 and 3,709.70

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Solution

The fourth proportional to 5,952.10, 8,209.13 and 3,709.70 is: 5,116.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,952.10 : 8,209.13 = 3,709.70 : x
  2. Step 2: Convert to fraction form
    5,952.10/8,209.13 = 3,709.70/x
  3. Step 3: Cross multiply
    5,952.10x = 8,209.13 × 3,709.70
  4. Step 4: Simplify right side
    5,952.10x = 30,453,409.56
  5. Step 5: Solve for x
    x = 30,453,409.56/5,952.10
  6. Step 6: Final answer
    x = 5,116.41

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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.