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Finding the Fourth Proportional to 5,804.11, 7,996.31 and 4,009.87

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Solution

The fourth proportional to 5,804.11, 7,996.31 and 4,009.87 is: 5,524.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,804.11 : 7,996.31 = 4,009.87 : x
  2. Step 2: Convert to fraction form
    5,804.11/7,996.31 = 4,009.87/x
  3. Step 3: Cross multiply
    5,804.11x = 7,996.31 × 4,009.87
  4. Step 4: Simplify right side
    5,804.11x = 32,064,143.53
  5. Step 5: Solve for x
    x = 32,064,143.53/5,804.11
  6. Step 6: Final answer
    x = 5,524.39

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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.