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Finding the Fourth Proportional to 5,764.46, 7,938.21 and 5,007.89

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Solution

The fourth proportional to 5,764.46, 7,938.21 and 5,007.89 is: 6,896.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,764.46 : 7,938.21 = 5,007.89 : x
  2. Step 2: Convert to fraction form
    5,764.46/7,938.21 = 5,007.89/x
  3. Step 3: Cross multiply
    5,764.46x = 7,938.21 × 5,007.89
  4. Step 4: Simplify right side
    5,764.46x = 39,753,682.48
  5. Step 5: Solve for x
    x = 39,753,682.48/5,764.46
  6. Step 6: Final answer
    x = 6,896.34

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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.