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Finding the Fourth Proportional to 3,382.83, 5,073.03 and 1,434.38

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Solution

The fourth proportional to 3,382.83, 5,073.03 and 1,434.38 is: 2,151.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,382.83 : 5,073.03 = 1,434.38 : x
  2. Step 2: Convert to fraction form
    3,382.83/5,073.03 = 1,434.38/x
  3. Step 3: Cross multiply
    3,382.83x = 5,073.03 × 1,434.38
  4. Step 4: Simplify right side
    3,382.83x = 7,276,627.41
  5. Step 5: Solve for x
    x = 7,276,627.41/3,382.83
  6. Step 6: Final answer
    x = 2,151.05

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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.