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Finding the Fourth Proportional to 3,511.71, 5,263 and 1,429.29

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Solution

The fourth proportional to 3,511.71, 5,263 and 1,429.29 is: 2,142.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,511.71 : 5,263 = 1,429.29 : x
  2. Step 2: Convert to fraction form
    3,511.71/5,263 = 1,429.29/x
  3. Step 3: Cross multiply
    3,511.71x = 5,263 × 1,429.29
  4. Step 4: Simplify right side
    3,511.71x = 7,522,353.27
  5. Step 5: Solve for x
    x = 7,522,353.27/3,511.71
  6. Step 6: Final answer
    x = 2,142.08

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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.