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Finding the Fourth Proportional to 6,058.72, 9,086.46 and 3,864.16

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Solution

The fourth proportional to 6,058.72, 9,086.46 and 3,864.16 is: 5,795.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,058.72 : 9,086.46 = 3,864.16 : x
  2. Step 2: Convert to fraction form
    6,058.72/9,086.46 = 3,864.16/x
  3. Step 3: Cross multiply
    6,058.72x = 9,086.46 × 3,864.16
  4. Step 4: Simplify right side
    6,058.72x = 35,111,535.27
  5. Step 5: Solve for x
    x = 35,111,535.27/6,058.72
  6. Step 6: Final answer
    x = 5,795.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.