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Finding the Fourth Proportional to 5,924.06, 8,186.04 and 5,073.20

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Solution

The fourth proportional to 5,924.06, 8,186.04 and 5,073.20 is: 7,010.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,924.06 : 8,186.04 = 5,073.20 : x
  2. Step 2: Convert to fraction form
    5,924.06/8,186.04 = 5,073.20/x
  3. Step 3: Cross multiply
    5,924.06x = 8,186.04 × 5,073.20
  4. Step 4: Simplify right side
    5,924.06x = 41,529,418.13
  5. Step 5: Solve for x
    x = 41,529,418.13/5,924.06
  6. Step 6: Final answer
    x = 7,010.30

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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.