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Finding the Fourth Proportional to 5,990.86, 8,259.33 and 4,195.93

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Solution

The fourth proportional to 5,990.86, 8,259.33 and 4,195.93 is: 5,784.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,990.86 : 8,259.33 = 4,195.93 : x
  2. Step 2: Convert to fraction form
    5,990.86/8,259.33 = 4,195.93/x
  3. Step 3: Cross multiply
    5,990.86x = 8,259.33 × 4,195.93
  4. Step 4: Simplify right side
    5,990.86x = 34,655,570.53
  5. Step 5: Solve for x
    x = 34,655,570.53/5,990.86
  6. Step 6: Final answer
    x = 5,784.74

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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.