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Finding the Fourth Proportional to 5,322.57, 7,983.71 and 1,426.98

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Solution

The fourth proportional to 5,322.57, 7,983.71 and 1,426.98 is: 2,140.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,322.57 : 7,983.71 = 1,426.98 : x
  2. Step 2: Convert to fraction form
    5,322.57/7,983.71 = 1,426.98/x
  3. Step 3: Cross multiply
    5,322.57x = 7,983.71 × 1,426.98
  4. Step 4: Simplify right side
    5,322.57x = 11,392,587.36
  5. Step 5: Solve for x
    x = 11,392,587.36/5,322.57
  6. Step 6: Final answer
    x = 2,140.43

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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.