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Finding the Fourth Proportional to 3,212.68, 4,435.54 and 2,465.22

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Solution

The fourth proportional to 3,212.68, 4,435.54 and 2,465.22 is: 3,403.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,212.68 : 4,435.54 = 2,465.22 : x
  2. Step 2: Convert to fraction form
    3,212.68/4,435.54 = 2,465.22/x
  3. Step 3: Cross multiply
    3,212.68x = 4,435.54 × 2,465.22
  4. Step 4: Simplify right side
    3,212.68x = 10,934,581.92
  5. Step 5: Solve for x
    x = 10,934,581.92/3,212.68
  6. Step 6: Final answer
    x = 3,403.57

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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.