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Finding the Fourth Proportional to 6,411.32, 8,847.78 and 3,617

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Solution

The fourth proportional to 6,411.32, 8,847.78 and 3,617 is: 4,991.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,411.32 : 8,847.78 = 3,617 : x
  2. Step 2: Convert to fraction form
    6,411.32/8,847.78 = 3,617/x
  3. Step 3: Cross multiply
    6,411.32x = 8,847.78 × 3,617
  4. Step 4: Simplify right side
    6,411.32x = 32,002,420.26
  5. Step 5: Solve for x
    x = 32,002,420.26/6,411.32
  6. Step 6: Final answer
    x = 4,991.55

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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.