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Finding the Fourth Proportional to 6,061.13, 8,364.49 and 3,704.57

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Solution

The fourth proportional to 6,061.13, 8,364.49 and 3,704.57 is: 5,112.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,061.13 : 8,364.49 = 3,704.57 : x
  2. Step 2: Convert to fraction form
    6,061.13/8,364.49 = 3,704.57/x
  3. Step 3: Cross multiply
    6,061.13x = 8,364.49 × 3,704.57
  4. Step 4: Simplify right side
    6,061.13x = 30,986,787.64
  5. Step 5: Solve for x
    x = 30,986,787.64/6,061.13
  6. Step 6: Final answer
    x = 5,112.38

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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.