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Finding the Fourth Proportional to 3,907.42, 5,861.12 and 3,679.16

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Solution

The fourth proportional to 3,907.42, 5,861.12 and 3,679.16 is: 5,518.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,907.42 : 5,861.12 = 3,679.16 : x
  2. Step 2: Convert to fraction form
    3,907.42/5,861.12 = 3,679.16/x
  3. Step 3: Cross multiply
    3,907.42x = 5,861.12 × 3,679.16
  4. Step 4: Simplify right side
    3,907.42x = 21,563,950.56
  5. Step 5: Solve for x
    x = 21,563,950.56/3,907.42
  6. Step 6: Final answer
    x = 5,518.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.