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Finding the Fourth Proportional to 5,305.26, 7,319.07 and 3,209.70

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Solution

The fourth proportional to 5,305.26, 7,319.07 and 3,209.70 is: 4,428.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,305.26 : 7,319.07 = 3,209.70 : x
  2. Step 2: Convert to fraction form
    5,305.26/7,319.07 = 3,209.70/x
  3. Step 3: Cross multiply
    5,305.26x = 7,319.07 × 3,209.70
  4. Step 4: Simplify right side
    5,305.26x = 23,492,018.98
  5. Step 5: Solve for x
    x = 23,492,018.98/5,305.26
  6. Step 6: Final answer
    x = 4,428.06

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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.