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Finding the Fourth Proportional to 4,137.73, 5,710.07 and 2,369.34

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Solution

The fourth proportional to 4,137.73, 5,710.07 and 2,369.34 is: 3,269.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,137.73 : 5,710.07 = 2,369.34 : x
  2. Step 2: Convert to fraction form
    4,137.73/5,710.07 = 2,369.34/x
  3. Step 3: Cross multiply
    4,137.73x = 5,710.07 × 2,369.34
  4. Step 4: Simplify right side
    4,137.73x = 13,529,097.25
  5. Step 5: Solve for x
    x = 13,529,097.25/4,137.73
  6. Step 6: Final answer
    x = 3,269.69

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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.