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Finding the Fourth Proportional to 6,411.69, 8,847.27 and 3,578.67

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Solution

The fourth proportional to 6,411.69, 8,847.27 and 3,578.67 is: 4,938.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,411.69 : 8,847.27 = 3,578.67 : x
  2. Step 2: Convert to fraction form
    6,411.69/8,847.27 = 3,578.67/x
  3. Step 3: Cross multiply
    6,411.69x = 8,847.27 × 3,578.67
  4. Step 4: Simplify right side
    6,411.69x = 31,661,459.73
  5. Step 5: Solve for x
    x = 31,661,459.73/6,411.69
  6. Step 6: Final answer
    x = 4,938.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.