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Finding the Fourth Proportional to 5,779, 8,667.05 and 1,617.93

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Solution

The fourth proportional to 5,779, 8,667.05 and 1,617.93 is: 2,426.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,779 : 8,667.05 = 1,617.93 : x
  2. Step 2: Convert to fraction form
    5,779/8,667.05 = 1,617.93/x
  3. Step 3: Cross multiply
    5,779x = 8,667.05 × 1,617.93
  4. Step 4: Simplify right side
    5,779x = 14,022,680.21
  5. Step 5: Solve for x
    x = 14,022,680.21/5,779
  6. Step 6: Final answer
    x = 2,426.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.