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Finding the Fourth Proportional to 3,907.50, 5,392.34 and 2,139.12

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Solution

The fourth proportional to 3,907.50, 5,392.34 and 2,139.12 is: 2,951.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,907.50 : 5,392.34 = 2,139.12 : x
  2. Step 2: Convert to fraction form
    3,907.50/5,392.34 = 2,139.12/x
  3. Step 3: Cross multiply
    3,907.50x = 5,392.34 × 2,139.12
  4. Step 4: Simplify right side
    3,907.50x = 11,534,867.69
  5. Step 5: Solve for x
    x = 11,534,867.69/3,907.50
  6. Step 6: Final answer
    x = 2,951.98

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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.