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Finding the Fourth Proportional to 6,174.98, 8,521.64 and 3,522.34

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Solution

The fourth proportional to 6,174.98, 8,521.64 and 3,522.34 is: 4,860.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,174.98 : 8,521.64 = 3,522.34 : x
  2. Step 2: Convert to fraction form
    6,174.98/8,521.64 = 3,522.34/x
  3. Step 3: Cross multiply
    6,174.98x = 8,521.64 × 3,522.34
  4. Step 4: Simplify right side
    6,174.98x = 30,016,113.44
  5. Step 5: Solve for x
    x = 30,016,113.44/6,174.98
  6. Step 6: Final answer
    x = 4,860.92

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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.