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Finding the Fourth Proportional to 5,189.91, 7,164.14 and 3,510.51

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Solution

The fourth proportional to 5,189.91, 7,164.14 and 3,510.51 is: 4,845.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,189.91 : 7,164.14 = 3,510.51 : x
  2. Step 2: Convert to fraction form
    5,189.91/7,164.14 = 3,510.51/x
  3. Step 3: Cross multiply
    5,189.91x = 7,164.14 × 3,510.51
  4. Step 4: Simplify right side
    5,189.91x = 25,149,785.11
  5. Step 5: Solve for x
    x = 25,149,785.11/5,189.91
  6. Step 6: Final answer
    x = 4,845.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.