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Finding the Fourth Proportional to 4,098.54, 6,138.57 and 2,871.43

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Solution

The fourth proportional to 4,098.54, 6,138.57 and 2,871.43 is: 4,300.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,098.54 : 6,138.57 = 2,871.43 : x
  2. Step 2: Convert to fraction form
    4,098.54/6,138.57 = 2,871.43/x
  3. Step 3: Cross multiply
    4,098.54x = 6,138.57 × 2,871.43
  4. Step 4: Simplify right side
    4,098.54x = 17,626,468.85
  5. Step 5: Solve for x
    x = 17,626,468.85/4,098.54
  6. Step 6: Final answer
    x = 4,300.67

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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.