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Finding the Fourth Proportional to 6,058.44, 9,026.73 and 5,661

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Solution

The fourth proportional to 6,058.44, 9,026.73 and 5,661 is: 8,434.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,058.44 : 9,026.73 = 5,661 : x
  2. Step 2: Convert to fraction form
    6,058.44/9,026.73 = 5,661/x
  3. Step 3: Cross multiply
    6,058.44x = 9,026.73 × 5,661
  4. Step 4: Simplify right side
    6,058.44x = 51,100,318.53
  5. Step 5: Solve for x
    x = 51,100,318.53/6,058.44
  6. Step 6: Final answer
    x = 8,434.57

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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.