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Finding the Fourth Proportional to 4,098.56, 5,658.24 and 2,771.84

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Solution

The fourth proportional to 4,098.56, 5,658.24 and 2,771.84 is: 3,826.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,098.56 : 5,658.24 = 2,771.84 : x
  2. Step 2: Convert to fraction form
    4,098.56/5,658.24 = 2,771.84/x
  3. Step 3: Cross multiply
    4,098.56x = 5,658.24 × 2,771.84
  4. Step 4: Simplify right side
    4,098.56x = 15,683,735.96
  5. Step 5: Solve for x
    x = 15,683,735.96/4,098.56
  6. Step 6: Final answer
    x = 3,826.65

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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.