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Finding the Fourth Proportional to 6,174.63, 8,521.47 and 3,522.83

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Solution

The fourth proportional to 6,174.63, 8,521.47 and 3,522.83 is: 4,861.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,174.63 : 8,521.47 = 3,522.83 : x
  2. Step 2: Convert to fraction form
    6,174.63/8,521.47 = 3,522.83/x
  3. Step 3: Cross multiply
    6,174.63x = 8,521.47 × 3,522.83
  4. Step 4: Simplify right side
    6,174.63x = 30,019,647.55
  5. Step 5: Solve for x
    x = 30,019,647.55/6,174.63
  6. Step 6: Final answer
    x = 4,861.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.