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Finding the Fourth Proportional to 3,511.51, 5,266.86 and 1,429.42

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Solution

The fourth proportional to 3,511.51, 5,266.86 and 1,429.42 is: 2,143.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,511.51 : 5,266.86 = 1,429.42 : x
  2. Step 2: Convert to fraction form
    3,511.51/5,266.86 = 1,429.42/x
  3. Step 3: Cross multiply
    3,511.51x = 5,266.86 × 1,429.42
  4. Step 4: Simplify right side
    3,511.51x = 7,528,555.02
  5. Step 5: Solve for x
    x = 7,528,555.02/3,511.51
  6. Step 6: Final answer
    x = 2,143.97

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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.