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Finding the Fourth Proportional to 4,808.86, 7,213.29 and 1,160.86

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Solution

The fourth proportional to 4,808.86, 7,213.29 and 1,160.86 is: 1,741.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,808.86 : 7,213.29 = 1,160.86 : x
  2. Step 2: Convert to fraction form
    4,808.86/7,213.29 = 1,160.86/x
  3. Step 3: Cross multiply
    4,808.86x = 7,213.29 × 1,160.86
  4. Step 4: Simplify right side
    4,808.86x = 8,373,619.83
  5. Step 5: Solve for x
    x = 8,373,619.83/4,808.86
  6. Step 6: Final answer
    x = 1,741.29

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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.