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Finding the Fourth Proportional to 4,511.06, 6,769.02 and 3,415.16

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Solution

The fourth proportional to 4,511.06, 6,769.02 and 3,415.16 is: 5,124.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,511.06 : 6,769.02 = 3,415.16 : x
  2. Step 2: Convert to fraction form
    4,511.06/6,769.02 = 3,415.16/x
  3. Step 3: Cross multiply
    4,511.06x = 6,769.02 × 3,415.16
  4. Step 4: Simplify right side
    4,511.06x = 23,117,286.34
  5. Step 5: Solve for x
    x = 23,117,286.34/4,511.06
  6. Step 6: Final answer
    x = 5,124.58

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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.