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Finding the Fourth Proportional to 6,339.69, 8,749.02 and 4,211.55

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Solution

The fourth proportional to 6,339.69, 8,749.02 and 4,211.55 is: 5,812.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,339.69 : 8,749.02 = 4,211.55 : x
  2. Step 2: Convert to fraction form
    6,339.69/8,749.02 = 4,211.55/x
  3. Step 3: Cross multiply
    6,339.69x = 8,749.02 × 4,211.55
  4. Step 4: Simplify right side
    6,339.69x = 36,846,935.18
  5. Step 5: Solve for x
    x = 36,846,935.18/6,339.69
  6. Step 6: Final answer
    x = 5,812.10

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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.