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Finding the Fourth Proportional to 6,168.39, 8,509.77 and 3,779.30

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Solution

The fourth proportional to 6,168.39, 8,509.77 and 3,779.30 is: 5,213.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,168.39 : 8,509.77 = 3,779.30 : x
  2. Step 2: Convert to fraction form
    6,168.39/8,509.77 = 3,779.30/x
  3. Step 3: Cross multiply
    6,168.39x = 8,509.77 × 3,779.30
  4. Step 4: Simplify right side
    6,168.39x = 32,160,931.21
  5. Step 5: Solve for x
    x = 32,160,931.21/6,168.39
  6. Step 6: Final answer
    x = 5,213.83

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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.