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Finding the Fourth Proportional to 6,174.55, 8,521.38 and 3,522.16

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Solution

The fourth proportional to 6,174.55, 8,521.38 and 3,522.16 is: 4,860.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,174.55 : 8,521.38 = 3,522.16 : x
  2. Step 2: Convert to fraction form
    6,174.55/8,521.38 = 3,522.16/x
  3. Step 3: Cross multiply
    6,174.55x = 8,521.38 × 3,522.16
  4. Step 4: Simplify right side
    6,174.55x = 30,013,663.78
  5. Step 5: Solve for x
    x = 30,013,663.78/6,174.55
  6. Step 6: Final answer
    x = 4,860.87

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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.