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Finding the Fourth Proportional to 6,098.26, 9,145.57 and 2,588.22

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Solution

The fourth proportional to 6,098.26, 9,145.57 and 2,588.22 is: 3,881.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.26 : 9,145.57 = 2,588.22 : x
  2. Step 2: Convert to fraction form
    6,098.26/9,145.57 = 2,588.22/x
  3. Step 3: Cross multiply
    6,098.26x = 9,145.57 × 2,588.22
  4. Step 4: Simplify right side
    6,098.26x = 23,670,747.19
  5. Step 5: Solve for x
    x = 23,670,747.19/6,098.26
  6. Step 6: Final answer
    x = 3,881.56

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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.