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Finding the Fourth Proportional to 4,511.34, 6,214.86 and 3,709.44

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Solution

The fourth proportional to 4,511.34, 6,214.86 and 3,709.44 is: 5,110.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,511.34 : 6,214.86 = 3,709.44 : x
  2. Step 2: Convert to fraction form
    4,511.34/6,214.86 = 3,709.44/x
  3. Step 3: Cross multiply
    4,511.34x = 6,214.86 × 3,709.44
  4. Step 4: Simplify right side
    4,511.34x = 23,053,650.28
  5. Step 5: Solve for x
    x = 23,053,650.28/4,511.34
  6. Step 6: Final answer
    x = 5,110.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.