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Finding the Fourth Proportional to 5,296.13, 7,308.24 and 2,905.71

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Solution

The fourth proportional to 5,296.13, 7,308.24 and 2,905.71 is: 4,009.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,296.13 : 7,308.24 = 2,905.71 : x
  2. Step 2: Convert to fraction form
    5,296.13/7,308.24 = 2,905.71/x
  3. Step 3: Cross multiply
    5,296.13x = 7,308.24 × 2,905.71
  4. Step 4: Simplify right side
    5,296.13x = 21,235,626.05
  5. Step 5: Solve for x
    x = 21,235,626.05/5,296.13
  6. Step 6: Final answer
    x = 4,009.65

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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.