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Finding the Fourth Proportional to 5,322.34, 7,983.49 and 2,397.22

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Solution

The fourth proportional to 5,322.34, 7,983.49 and 2,397.22 is: 3,595.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,322.34 : 7,983.49 = 2,397.22 : x
  2. Step 2: Convert to fraction form
    5,322.34/7,983.49 = 2,397.22/x
  3. Step 3: Cross multiply
    5,322.34x = 7,983.49 × 2,397.22
  4. Step 4: Simplify right side
    5,322.34x = 19,138,181.90
  5. Step 5: Solve for x
    x = 19,138,181.90/5,322.34
  6. Step 6: Final answer
    x = 3,595.82

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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.