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Finding the Fourth Proportional to 5,296.43, 7,309.05 and 2,938.57

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Solution

The fourth proportional to 5,296.43, 7,309.05 and 2,938.57 is: 4,055.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,296.43 : 7,309.05 = 2,938.57 : x
  2. Step 2: Convert to fraction form
    5,296.43/7,309.05 = 2,938.57/x
  3. Step 3: Cross multiply
    5,296.43x = 7,309.05 × 2,938.57
  4. Step 4: Simplify right side
    5,296.43x = 21,478,155.06
  5. Step 5: Solve for x
    x = 21,478,155.06/5,296.43
  6. Step 6: Final answer
    x = 4,055.21

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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.