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Finding the Fourth Proportional to 4,734.66, 7,097.19 and 2,265.86

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Solution

The fourth proportional to 4,734.66, 7,097.19 and 2,265.86 is: 3,396.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,734.66 : 7,097.19 = 2,265.86 : x
  2. Step 2: Convert to fraction form
    4,734.66/7,097.19 = 2,265.86/x
  3. Step 3: Cross multiply
    4,734.66x = 7,097.19 × 2,265.86
  4. Step 4: Simplify right side
    4,734.66x = 16,081,238.93
  5. Step 5: Solve for x
    x = 16,081,238.93/4,734.66
  6. Step 6: Final answer
    x = 3,396.49

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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.