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Finding the Fourth Proportional to 5,774.70, 8,680.10 and 3,812.93

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Solution

The fourth proportional to 5,774.70, 8,680.10 and 3,812.93 is: 5,731.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,774.70 : 8,680.10 = 3,812.93 : x
  2. Step 2: Convert to fraction form
    5,774.70/8,680.10 = 3,812.93/x
  3. Step 3: Cross multiply
    5,774.70x = 8,680.10 × 3,812.93
  4. Step 4: Simplify right side
    5,774.70x = 33,096,613.69
  5. Step 5: Solve for x
    x = 33,096,613.69/5,774.70
  6. Step 6: Final answer
    x = 5,731.31

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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.