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Finding the Fourth Proportional to 5,296.11, 7,303.59 and 3,171.30

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Solution

The fourth proportional to 5,296.11, 7,303.59 and 3,171.30 is: 4,373.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,296.11 : 7,303.59 = 3,171.30 : x
  2. Step 2: Convert to fraction form
    5,296.11/7,303.59 = 3,171.30/x
  3. Step 3: Cross multiply
    5,296.11x = 7,303.59 × 3,171.30
  4. Step 4: Simplify right side
    5,296.11x = 23,161,874.97
  5. Step 5: Solve for x
    x = 23,161,874.97/5,296.11
  6. Step 6: Final answer
    x = 4,373.37

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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.