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Finding the Fourth Proportional to 5,398.82, 7,444.22 and 4,401

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Solution

The fourth proportional to 5,398.82, 7,444.22 and 4,401 is: 6,068.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,398.82 : 7,444.22 = 4,401 : x
  2. Step 2: Convert to fraction form
    5,398.82/7,444.22 = 4,401/x
  3. Step 3: Cross multiply
    5,398.82x = 7,444.22 × 4,401
  4. Step 4: Simplify right side
    5,398.82x = 32,762,012.22
  5. Step 5: Solve for x
    x = 32,762,012.22/5,398.82
  6. Step 6: Final answer
    x = 6,068.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.