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Finding the Fourth Proportional to 5,859.02, 8,083.04 and 4,284.38

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Solution

The fourth proportional to 5,859.02, 8,083.04 and 4,284.38 is: 5,910.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,859.02 : 8,083.04 = 4,284.38 : x
  2. Step 2: Convert to fraction form
    5,859.02/8,083.04 = 4,284.38/x
  3. Step 3: Cross multiply
    5,859.02x = 8,083.04 × 4,284.38
  4. Step 4: Simplify right side
    5,859.02x = 34,630,753.08
  5. Step 5: Solve for x
    x = 34,630,753.08/5,859.02
  6. Step 6: Final answer
    x = 5,910.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.