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Finding the Fourth Proportional to 5,801.94, 8,006.76 and 3,149.46

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Solution

The fourth proportional to 5,801.94, 8,006.76 and 3,149.46 is: 4,346.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,801.94 : 8,006.76 = 3,149.46 : x
  2. Step 2: Convert to fraction form
    5,801.94/8,006.76 = 3,149.46/x
  3. Step 3: Cross multiply
    5,801.94x = 8,006.76 × 3,149.46
  4. Step 4: Simplify right side
    5,801.94x = 25,216,970.35
  5. Step 5: Solve for x
    x = 25,216,970.35/5,801.94
  6. Step 6: Final answer
    x = 4,346.30

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Half scale
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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.