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Finding the Fourth Proportional to 3,617.96, 5,427.81 and 1,426.77

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Solution

The fourth proportional to 3,617.96, 5,427.81 and 1,426.77 is: 2,140.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,617.96 : 5,427.81 = 1,426.77 : x
  2. Step 2: Convert to fraction form
    3,617.96/5,427.81 = 1,426.77/x
  3. Step 3: Cross multiply
    3,617.96x = 5,427.81 × 1,426.77
  4. Step 4: Simplify right side
    3,617.96x = 7,744,236.47
  5. Step 5: Solve for x
    x = 7,744,236.47/3,617.96
  6. Step 6: Final answer
    x = 2,140.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.