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Finding the Fourth Proportional to 5,837.36, 8,035.11 and 5,090.00

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Solution

The fourth proportional to 5,837.36, 8,035.11 and 5,090.00 is: 7,006.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,837.36 : 8,035.11 = 5,090.00 : x
  2. Step 2: Convert to fraction form
    5,837.36/8,035.11 = 5,090.00/x
  3. Step 3: Cross multiply
    5,837.36x = 8,035.11 × 5,090.00
  4. Step 4: Simplify right side
    5,837.36x = 40,898,669.72
  5. Step 5: Solve for x
    x = 40,898,669.72/5,837.36
  6. Step 6: Final answer
    x = 7,006.37

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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.