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Finding the Fourth Proportional to 5,857.63, 8,083.33 and 3,498.37

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Solution

The fourth proportional to 5,857.63, 8,083.33 and 3,498.37 is: 4,827.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,857.63 : 8,083.33 = 3,498.37 : x
  2. Step 2: Convert to fraction form
    5,857.63/8,083.33 = 3,498.37/x
  3. Step 3: Cross multiply
    5,857.63x = 8,083.33 × 3,498.37
  4. Step 4: Simplify right side
    5,857.63x = 28,278,479.17
  5. Step 5: Solve for x
    x = 28,278,479.17/5,857.63
  6. Step 6: Final answer
    x = 4,827.63

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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.