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Finding the Fourth Proportional to 3,135.69, 4,327.83 and 2,140.34

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Solution

The fourth proportional to 3,135.69, 4,327.83 and 2,140.34 is: 2,954.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,135.69 : 4,327.83 = 2,140.34 : x
  2. Step 2: Convert to fraction form
    3,135.69/4,327.83 = 2,140.34/x
  3. Step 3: Cross multiply
    3,135.69x = 4,327.83 × 2,140.34
  4. Step 4: Simplify right side
    3,135.69x = 9,263,006.02
  5. Step 5: Solve for x
    x = 9,263,006.02/3,135.69
  6. Step 6: Final answer
    x = 2,954.06

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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.