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Finding the Fourth Proportional to 5,903.80, 8,143.72 and 3,779.80

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Solution

The fourth proportional to 5,903.80, 8,143.72 and 3,779.80 is: 5,213.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,903.80 : 8,143.72 = 3,779.80 : x
  2. Step 2: Convert to fraction form
    5,903.80/8,143.72 = 3,779.80/x
  3. Step 3: Cross multiply
    5,903.80x = 8,143.72 × 3,779.80
  4. Step 4: Simplify right side
    5,903.80x = 30,781,632.86
  5. Step 5: Solve for x
    x = 30,781,632.86/5,903.80
  6. Step 6: Final answer
    x = 5,213.87

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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.