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Finding the Fourth Proportional to 5,494.21, 7,582.34 and 3,369.98

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Solution

The fourth proportional to 5,494.21, 7,582.34 and 3,369.98 is: 4,650.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,494.21 : 7,582.34 = 3,369.98 : x
  2. Step 2: Convert to fraction form
    5,494.21/7,582.34 = 3,369.98/x
  3. Step 3: Cross multiply
    5,494.21x = 7,582.34 × 3,369.98
  4. Step 4: Simplify right side
    5,494.21x = 25,552,334.15
  5. Step 5: Solve for x
    x = 25,552,334.15/5,494.21
  6. Step 6: Final answer
    x = 4,650.77

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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.