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Finding the Fourth Proportional to 6,458.24, 9,691.08 and 3,649.30

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Solution

The fourth proportional to 6,458.24, 9,691.08 and 3,649.30 is: 5,476.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,458.24 : 9,691.08 = 3,649.30 : x
  2. Step 2: Convert to fraction form
    6,458.24/9,691.08 = 3,649.30/x
  3. Step 3: Cross multiply
    6,458.24x = 9,691.08 × 3,649.30
  4. Step 4: Simplify right side
    6,458.24x = 35,365,658.24
  5. Step 5: Solve for x
    x = 35,365,658.24/6,458.24
  6. Step 6: Final answer
    x = 5,476.05

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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.