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Finding the Fourth Proportional to 3,027.72, 4,511.13 and 2,829

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Solution

The fourth proportional to 3,027.72, 4,511.13 and 2,829 is: 4,215.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,027.72 : 4,511.13 = 2,829 : x
  2. Step 2: Convert to fraction form
    3,027.72/4,511.13 = 2,829/x
  3. Step 3: Cross multiply
    3,027.72x = 4,511.13 × 2,829
  4. Step 4: Simplify right side
    3,027.72x = 12,761,986.77
  5. Step 5: Solve for x
    x = 12,761,986.77/3,027.72
  6. Step 6: Final answer
    x = 4,215.05

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.