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Finding the Fourth Proportional to 4,181.76, 5,770.80 and 2,318.72

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Solution

The fourth proportional to 4,181.76, 5,770.80 and 2,318.72 is: 3,199.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,181.76 : 5,770.80 = 2,318.72 : x
  2. Step 2: Convert to fraction form
    4,181.76/5,770.80 = 2,318.72/x
  3. Step 3: Cross multiply
    4,181.76x = 5,770.80 × 2,318.72
  4. Step 4: Simplify right side
    4,181.76x = 13,380,869.38
  5. Step 5: Solve for x
    x = 13,380,869.38/4,181.76
  6. Step 6: Final answer
    x = 3,199.82

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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.