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Finding the Fourth Proportional to 4,709.69, 7,066.83 and 1,937.20

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Solution

The fourth proportional to 4,709.69, 7,066.83 and 1,937.20 is: 2,906.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709.69 : 7,066.83 = 1,937.20 : x
  2. Step 2: Convert to fraction form
    4,709.69/7,066.83 = 1,937.20/x
  3. Step 3: Cross multiply
    4,709.69x = 7,066.83 × 1,937.20
  4. Step 4: Simplify right side
    4,709.69x = 13,689,863.08
  5. Step 5: Solve for x
    x = 13,689,863.08/4,709.69
  6. Step 6: Final answer
    x = 2,906.74

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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.