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Finding the Fourth Proportional to 5,133.69, 7,687.41 and 4,095.20

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Solution

The fourth proportional to 5,133.69, 7,687.41 and 4,095.20 is: 6,132.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,133.69 : 7,687.41 = 4,095.20 : x
  2. Step 2: Convert to fraction form
    5,133.69/7,687.41 = 4,095.20/x
  3. Step 3: Cross multiply
    5,133.69x = 7,687.41 × 4,095.20
  4. Step 4: Simplify right side
    5,133.69x = 31,481,485.29
  5. Step 5: Solve for x
    x = 31,481,485.29/5,133.69
  6. Step 6: Final answer
    x = 6,132.33

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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.