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Finding the Fourth Proportional to 4,711.54, 7,063.67 and 2,734.13

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Solution

The fourth proportional to 4,711.54, 7,063.67 and 2,734.13 is: 4,099.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,711.54 : 7,063.67 = 2,734.13 : x
  2. Step 2: Convert to fraction form
    4,711.54/7,063.67 = 2,734.13/x
  3. Step 3: Cross multiply
    4,711.54x = 7,063.67 × 2,734.13
  4. Step 4: Simplify right side
    4,711.54x = 19,312,992.06
  5. Step 5: Solve for x
    x = 19,312,992.06/4,711.54
  6. Step 6: Final answer
    x = 4,099.08

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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.