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Finding the Fourth Proportional to 6,257.97, 9,341.29 and 5,795.46

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Solution

The fourth proportional to 6,257.97, 9,341.29 and 5,795.46 is: 8,650.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,257.97 : 9,341.29 = 5,795.46 : x
  2. Step 2: Convert to fraction form
    6,257.97/9,341.29 = 5,795.46/x
  3. Step 3: Cross multiply
    6,257.97x = 9,341.29 × 5,795.46
  4. Step 4: Simplify right side
    6,257.97x = 54,137,072.54
  5. Step 5: Solve for x
    x = 54,137,072.54/6,257.97
  6. Step 6: Final answer
    x = 8,650.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.