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Finding the Fourth Proportional to 5,857.12, 8,083.02 and 3,498.94

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Solution

The fourth proportional to 5,857.12, 8,083.02 and 3,498.94 is: 4,828.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,857.12 : 8,083.02 = 3,498.94 : x
  2. Step 2: Convert to fraction form
    5,857.12/8,083.02 = 3,498.94/x
  3. Step 3: Cross multiply
    5,857.12x = 8,083.02 × 3,498.94
  4. Step 4: Simplify right side
    5,857.12x = 28,282,002.00
  5. Step 5: Solve for x
    x = 28,282,002.00/5,857.12
  6. Step 6: Final answer
    x = 4,828.65

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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.