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Finding the Fourth Proportional to 5,830.86, 8,046.27 and 3,346.86

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Solution

The fourth proportional to 5,830.86, 8,046.27 and 3,346.86 is: 4,618.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,830.86 : 8,046.27 = 3,346.86 : x
  2. Step 2: Convert to fraction form
    5,830.86/8,046.27 = 3,346.86/x
  3. Step 3: Cross multiply
    5,830.86x = 8,046.27 × 3,346.86
  4. Step 4: Simplify right side
    5,830.86x = 26,929,739.21
  5. Step 5: Solve for x
    x = 26,929,739.21/5,830.86
  6. Step 6: Final answer
    x = 4,618.48

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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.