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Finding the Fourth Proportional to 5,444.06, 8,096.97 and 5,339.52

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Solution

The fourth proportional to 5,444.06, 8,096.97 and 5,339.52 is: 7,941.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,444.06 : 8,096.97 = 5,339.52 : x
  2. Step 2: Convert to fraction form
    5,444.06/8,096.97 = 5,339.52/x
  3. Step 3: Cross multiply
    5,444.06x = 8,096.97 × 5,339.52
  4. Step 4: Simplify right side
    5,444.06x = 43,233,933.25
  5. Step 5: Solve for x
    x = 43,233,933.25/5,444.06
  6. Step 6: Final answer
    x = 7,941.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.