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Finding the Fourth Proportional to 4,137.48, 5,709.42 and 2,369.16

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Solution

The fourth proportional to 4,137.48, 5,709.42 and 2,369.16 is: 3,269.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,137.48 : 5,709.42 = 2,369.16 : x
  2. Step 2: Convert to fraction form
    4,137.48/5,709.42 = 2,369.16/x
  3. Step 3: Cross multiply
    4,137.48x = 5,709.42 × 2,369.16
  4. Step 4: Simplify right side
    4,137.48x = 13,526,529.49
  5. Step 5: Solve for x
    x = 13,526,529.49/4,137.48
  6. Step 6: Final answer
    x = 3,269.27

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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.