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Finding the Fourth Proportional to 5,794.51, 7,989.11 and 4,731.19

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Solution

The fourth proportional to 5,794.51, 7,989.11 and 4,731.19 is: 6,523.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,794.51 : 7,989.11 = 4,731.19 : x
  2. Step 2: Convert to fraction form
    5,794.51/7,989.11 = 4,731.19/x
  3. Step 3: Cross multiply
    5,794.51x = 7,989.11 × 4,731.19
  4. Step 4: Simplify right side
    5,794.51x = 37,797,997.34
  5. Step 5: Solve for x
    x = 37,797,997.34/5,794.51
  6. Step 6: Final answer
    x = 6,523.07

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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.