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Finding the Fourth Proportional to 3,465.10, 5,195.13 and 2,003.41

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Solution

The fourth proportional to 3,465.10, 5,195.13 and 2,003.41 is: 3,003.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,465.10 : 5,195.13 = 2,003.41 : x
  2. Step 2: Convert to fraction form
    3,465.10/5,195.13 = 2,003.41/x
  3. Step 3: Cross multiply
    3,465.10x = 5,195.13 × 2,003.41
  4. Step 4: Simplify right side
    3,465.10x = 10,407,975.39
  5. Step 5: Solve for x
    x = 10,407,975.39/3,465.10
  6. Step 6: Final answer
    x = 3,003.66

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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.