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Finding the Fourth Proportional to 6,455.88, 9,664.38 and 3,677.58

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Solution

The fourth proportional to 6,455.88, 9,664.38 and 3,677.58 is: 5,505.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,455.88 : 9,664.38 = 3,677.58 : x
  2. Step 2: Convert to fraction form
    6,455.88/9,664.38 = 3,677.58/x
  3. Step 3: Cross multiply
    6,455.88x = 9,664.38 × 3,677.58
  4. Step 4: Simplify right side
    6,455.88x = 35,541,530.60
  5. Step 5: Solve for x
    x = 35,541,530.60/6,455.88
  6. Step 6: Final answer
    x = 5,505.30

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