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Finding the Fourth Proportional to 5,201.88, 7,802.84 and 2,083.28

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Solution

The fourth proportional to 5,201.88, 7,802.84 and 2,083.28 is: 3,124.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,201.88 : 7,802.84 = 2,083.28 : x
  2. Step 2: Convert to fraction form
    5,201.88/7,802.84 = 2,083.28/x
  3. Step 3: Cross multiply
    5,201.88x = 7,802.84 × 2,083.28
  4. Step 4: Simplify right side
    5,201.88x = 16,255,500.52
  5. Step 5: Solve for x
    x = 16,255,500.52/5,201.88
  6. Step 6: Final answer
    x = 3,124.93

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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.