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Finding the Fourth Proportional to 5,296.41, 7,309.17 and 2,938.50

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Solution

The fourth proportional to 5,296.41, 7,309.17 and 2,938.50 is: 4,055.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,296.41 : 7,309.17 = 2,938.50 : x
  2. Step 2: Convert to fraction form
    5,296.41/7,309.17 = 2,938.50/x
  3. Step 3: Cross multiply
    5,296.41x = 7,309.17 × 2,938.50
  4. Step 4: Simplify right side
    5,296.41x = 21,477,996.05
  5. Step 5: Solve for x
    x = 21,477,996.05/5,296.41
  6. Step 6: Final answer
    x = 4,055.20

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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.