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Finding the Fourth Proportional to 5,296.64, 7,309.59 and 2,938.78

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Solution

The fourth proportional to 5,296.64, 7,309.59 and 2,938.78 is: 4,055.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,296.64 : 7,309.59 = 2,938.78 : x
  2. Step 2: Convert to fraction form
    5,296.64/7,309.59 = 2,938.78/x
  3. Step 3: Cross multiply
    5,296.64x = 7,309.59 × 2,938.78
  4. Step 4: Simplify right side
    5,296.64x = 21,481,291.55
  5. Step 5: Solve for x
    x = 21,481,291.55/5,296.64
  6. Step 6: Final answer
    x = 4,055.64

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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.