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Finding the Fourth Proportional to 5,432.77, 8,149 and 1,735.23

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Solution

The fourth proportional to 5,432.77, 8,149 and 1,735.23 is: 2,602.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,432.77 : 8,149 = 1,735.23 : x
  2. Step 2: Convert to fraction form
    5,432.77/8,149 = 1,735.23/x
  3. Step 3: Cross multiply
    5,432.77x = 8,149 × 1,735.23
  4. Step 4: Simplify right side
    5,432.77x = 14,140,389.27
  5. Step 5: Solve for x
    x = 14,140,389.27/5,432.77
  6. Step 6: Final answer
    x = 2,602.80

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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.