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Finding the Fourth Proportional to 5,530.68, 8,296.16 and 1,833.17

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Solution

The fourth proportional to 5,530.68, 8,296.16 and 1,833.17 is: 2,749.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,530.68 : 8,296.16 = 1,833.17 : x
  2. Step 2: Convert to fraction form
    5,530.68/8,296.16 = 1,833.17/x
  3. Step 3: Cross multiply
    5,530.68x = 8,296.16 × 1,833.17
  4. Step 4: Simplify right side
    5,530.68x = 15,208,220.98
  5. Step 5: Solve for x
    x = 15,208,220.98/5,530.68
  6. Step 6: Final answer
    x = 2,749.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.