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Finding the Fourth Proportional to 5,296.10, 7,308.83 and 2,938.25

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Solution

The fourth proportional to 5,296.10, 7,308.83 and 2,938.25 is: 4,054.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,296.10 : 7,308.83 = 2,938.25 : x
  2. Step 2: Convert to fraction form
    5,296.10/7,308.83 = 2,938.25/x
  3. Step 3: Cross multiply
    5,296.10x = 7,308.83 × 2,938.25
  4. Step 4: Simplify right side
    5,296.10x = 21,475,195.37
  5. Step 5: Solve for x
    x = 21,475,195.37/5,296.10
  6. Step 6: Final answer
    x = 4,054.91

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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.