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Finding the Fourth Proportional to 5,296.90, 7,309.52 and 2,906.93

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Solution

The fourth proportional to 5,296.90, 7,309.52 and 2,906.93 is: 4,011.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,296.90 : 7,309.52 = 2,906.93 : x
  2. Step 2: Convert to fraction form
    5,296.90/7,309.52 = 2,906.93/x
  3. Step 3: Cross multiply
    5,296.90x = 7,309.52 × 2,906.93
  4. Step 4: Simplify right side
    5,296.90x = 21,248,262.97
  5. Step 5: Solve for x
    x = 21,248,262.97/5,296.90
  6. Step 6: Final answer
    x = 4,011.45

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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.