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Finding the Fourth Proportional to 5,927.96, 8,893.29 and 2,032.13

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Solution

The fourth proportional to 5,927.96, 8,893.29 and 2,032.13 is: 3,048.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,927.96 : 8,893.29 = 2,032.13 : x
  2. Step 2: Convert to fraction form
    5,927.96/8,893.29 = 2,032.13/x
  3. Step 3: Cross multiply
    5,927.96x = 8,893.29 × 2,032.13
  4. Step 4: Simplify right side
    5,927.96x = 18,072,321.41
  5. Step 5: Solve for x
    x = 18,072,321.41/5,927.96
  6. Step 6: Final answer
    x = 3,048.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.