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Finding the Fourth Proportional to 6,458.24, 9,671.78 and 3,676.48

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Solution

The fourth proportional to 6,458.24, 9,671.78 and 3,676.48 is: 5,505.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,458.24 : 9,671.78 = 3,676.48 : x
  2. Step 2: Convert to fraction form
    6,458.24/9,671.78 = 3,676.48/x
  3. Step 3: Cross multiply
    6,458.24x = 9,671.78 × 3,676.48
  4. Step 4: Simplify right side
    6,458.24x = 35,558,090.75
  5. Step 5: Solve for x
    x = 35,558,090.75/6,458.24
  6. Step 6: Final answer
    x = 5,505.85

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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.