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Finding the Fourth Proportional to 5,801.76, 8,006.20 and 3,149.10

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Solution

The fourth proportional to 5,801.76, 8,006.20 and 3,149.10 is: 4,345.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,801.76 : 8,006.20 = 3,149.10 : x
  2. Step 2: Convert to fraction form
    5,801.76/8,006.20 = 3,149.10/x
  3. Step 3: Cross multiply
    5,801.76x = 8,006.20 × 3,149.10
  4. Step 4: Simplify right side
    5,801.76x = 25,212,316.55
  5. Step 5: Solve for x
    x = 25,212,316.55/5,801.76
  6. Step 6: Final answer
    x = 4,345.63

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1.5x scale

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.