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Finding the Fourth Proportional to 5,201.47, 7,178.03 and 2,843.61

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Solution

The fourth proportional to 5,201.47, 7,178.03 and 2,843.61 is: 3,924.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,201.47 : 7,178.03 = 2,843.61 : x
  2. Step 2: Convert to fraction form
    5,201.47/7,178.03 = 2,843.61/x
  3. Step 3: Cross multiply
    5,201.47x = 7,178.03 × 2,843.61
  4. Step 4: Simplify right side
    5,201.47x = 20,411,525.00
  5. Step 5: Solve for x
    x = 20,411,525.00/5,201.47
  6. Step 6: Final answer
    x = 3,924.19

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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.