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Finding the Fourth Proportional to 6,454.13, 8,906.69 and 3,659.63

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Solution

The fourth proportional to 6,454.13, 8,906.69 and 3,659.63 is: 5,050.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,454.13 : 8,906.69 = 3,659.63 : x
  2. Step 2: Convert to fraction form
    6,454.13/8,906.69 = 3,659.63/x
  3. Step 3: Cross multiply
    6,454.13x = 8,906.69 × 3,659.63
  4. Step 4: Simplify right side
    6,454.13x = 32,595,154.54
  5. Step 5: Solve for x
    x = 32,595,154.54/6,454.13
  6. Step 6: Final answer
    x = 5,050.28

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