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Finding the Fourth Proportional to 5,798.86, 8,682.84 and 3,953.60

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Solution

The fourth proportional to 5,798.86, 8,682.84 and 3,953.60 is: 5,919.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,798.86 : 8,682.84 = 3,953.60 : x
  2. Step 2: Convert to fraction form
    5,798.86/8,682.84 = 3,953.60/x
  3. Step 3: Cross multiply
    5,798.86x = 8,682.84 × 3,953.60
  4. Step 4: Simplify right side
    5,798.86x = 34,328,476.22
  5. Step 5: Solve for x
    x = 34,328,476.22/5,798.86
  6. Step 6: Final answer
    x = 5,919.87

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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.