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Finding the Fourth Proportional to 4,889.38, 6,741.66 and 3,563.68

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Solution

The fourth proportional to 4,889.38, 6,741.66 and 3,563.68 is: 4,913.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,889.38 : 6,741.66 = 3,563.68 : x
  2. Step 2: Convert to fraction form
    4,889.38/6,741.66 = 3,563.68/x
  3. Step 3: Cross multiply
    4,889.38x = 6,741.66 × 3,563.68
  4. Step 4: Simplify right side
    4,889.38x = 24,025,118.91
  5. Step 5: Solve for x
    x = 24,025,118.91/4,889.38
  6. Step 6: Final answer
    x = 4,913.74

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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.