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Finding the Fourth Proportional to 5,113.08, 7,669.08 and 3,164.76

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Solution

The fourth proportional to 5,113.08, 7,669.08 and 3,164.76 is: 4,746.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,113.08 : 7,669.08 = 3,164.76 : x
  2. Step 2: Convert to fraction form
    5,113.08/7,669.08 = 3,164.76/x
  3. Step 3: Cross multiply
    5,113.08x = 7,669.08 × 3,164.76
  4. Step 4: Simplify right side
    5,113.08x = 24,270,797.62
  5. Step 5: Solve for x
    x = 24,270,797.62/5,113.08
  6. Step 6: Final answer
    x = 4,746.81

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Similar ratio
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1.5x scale

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.