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Finding the Fourth Proportional to 4,137.54, 5,709.65 and 2,367.89

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Solution

The fourth proportional to 4,137.54, 5,709.65 and 2,367.89 is: 3,267.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,137.54 : 5,709.65 = 2,367.89 : x
  2. Step 2: Convert to fraction form
    4,137.54/5,709.65 = 2,367.89/x
  3. Step 3: Cross multiply
    4,137.54x = 5,709.65 × 2,367.89
  4. Step 4: Simplify right side
    4,137.54x = 13,519,823.14
  5. Step 5: Solve for x
    x = 13,519,823.14/4,137.54
  6. Step 6: Final answer
    x = 3,267.60

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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.