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Finding the Fourth Proportional to 6,322.55, 8,726.96 and 3,671.15

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Solution

The fourth proportional to 6,322.55, 8,726.96 and 3,671.15 is: 5,067.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,322.55 : 8,726.96 = 3,671.15 : x
  2. Step 2: Convert to fraction form
    6,322.55/8,726.96 = 3,671.15/x
  3. Step 3: Cross multiply
    6,322.55x = 8,726.96 × 3,671.15
  4. Step 4: Simplify right side
    6,322.55x = 32,037,944.75
  5. Step 5: Solve for x
    x = 32,037,944.75/6,322.55
  6. Step 6: Final answer
    x = 5,067.25

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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.