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Finding the Fourth Proportional to 6,046.89, 9,057.72 and 5,838

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Solution

The fourth proportional to 6,046.89, 9,057.72 and 5,838 is: 8,744.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,046.89 : 9,057.72 = 5,838 : x
  2. Step 2: Convert to fraction form
    6,046.89/9,057.72 = 5,838/x
  3. Step 3: Cross multiply
    6,046.89x = 9,057.72 × 5,838
  4. Step 4: Simplify right side
    6,046.89x = 52,878,969.36
  5. Step 5: Solve for x
    x = 52,878,969.36/6,046.89
  6. Step 6: Final answer
    x = 8,744.82

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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.