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Finding the Fourth Proportional to 6,079.55, 9,122.04 and 3,743.10

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Solution

The fourth proportional to 6,079.55, 9,122.04 and 3,743.10 is: 5,616.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,079.55 : 9,122.04 = 3,743.10 : x
  2. Step 2: Convert to fraction form
    6,079.55/9,122.04 = 3,743.10/x
  3. Step 3: Cross multiply
    6,079.55x = 9,122.04 × 3,743.10
  4. Step 4: Simplify right side
    6,079.55x = 34,144,707.92
  5. Step 5: Solve for x
    x = 34,144,707.92/6,079.55
  6. Step 6: Final answer
    x = 5,616.33

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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.