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Finding the Fourth Proportional to 3,140.72, 4,709.22 and 1,193.06

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Solution

The fourth proportional to 3,140.72, 4,709.22 and 1,193.06 is: 1,788.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,140.72 : 4,709.22 = 1,193.06 : x
  2. Step 2: Convert to fraction form
    3,140.72/4,709.22 = 1,193.06/x
  3. Step 3: Cross multiply
    3,140.72x = 4,709.22 × 1,193.06
  4. Step 4: Simplify right side
    3,140.72x = 5,618,382.01
  5. Step 5: Solve for x
    x = 5,618,382.01/3,140.72
  6. Step 6: Final answer
    x = 1,788.88

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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.