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Finding the Fourth Proportional to 5,395, 8,093.28 and 1,695.98

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Solution

The fourth proportional to 5,395, 8,093.28 and 1,695.98 is: 2,544.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,395 : 8,093.28 = 1,695.98 : x
  2. Step 2: Convert to fraction form
    5,395/8,093.28 = 1,695.98/x
  3. Step 3: Cross multiply
    5,395x = 8,093.28 × 1,695.98
  4. Step 4: Simplify right side
    5,395x = 13,726,041.01
  5. Step 5: Solve for x
    x = 13,726,041.01/5,395
  6. Step 6: Final answer
    x = 2,544.22

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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.