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Finding the Fourth Proportional to 5,576.81, 7,691.96 and 4,736.18

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Solution

The fourth proportional to 5,576.81, 7,691.96 and 4,736.18 is: 6,532.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,576.81 : 7,691.96 = 4,736.18 : x
  2. Step 2: Convert to fraction form
    5,576.81/7,691.96 = 4,736.18/x
  3. Step 3: Cross multiply
    5,576.81x = 7,691.96 × 4,736.18
  4. Step 4: Simplify right side
    5,576.81x = 36,430,538.18
  5. Step 5: Solve for x
    x = 36,430,538.18/5,576.81
  6. Step 6: Final answer
    x = 6,532.51

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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.