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Finding the Fourth Proportional to 5,901.64, 8,845.98 and 3,949

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Solution

The fourth proportional to 5,901.64, 8,845.98 and 3,949 is: 5,919.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,901.64 : 8,845.98 = 3,949 : x
  2. Step 2: Convert to fraction form
    5,901.64/8,845.98 = 3,949/x
  3. Step 3: Cross multiply
    5,901.64x = 8,845.98 × 3,949
  4. Step 4: Simplify right side
    5,901.64x = 34,932,775.02
  5. Step 5: Solve for x
    x = 34,932,775.02/5,901.64
  6. Step 6: Final answer
    x = 5,919.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.