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Finding the Fourth Proportional to 3,435.23, 5,151.10 and 2,447.48

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Solution

The fourth proportional to 3,435.23, 5,151.10 and 2,447.48 is: 3,669.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,435.23 : 5,151.10 = 2,447.48 : x
  2. Step 2: Convert to fraction form
    3,435.23/5,151.10 = 2,447.48/x
  3. Step 3: Cross multiply
    3,435.23x = 5,151.10 × 2,447.48
  4. Step 4: Simplify right side
    3,435.23x = 12,607,188.47
  5. Step 5: Solve for x
    x = 12,607,188.47/3,435.23
  6. Step 6: Final answer
    x = 3,669.97

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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.