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Finding the Fourth Proportional to 5,893.65, 8,124.54 and 3,768.93

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Solution

The fourth proportional to 5,893.65, 8,124.54 and 3,768.93 is: 5,195.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,893.65 : 8,124.54 = 3,768.93 : x
  2. Step 2: Convert to fraction form
    5,893.65/8,124.54 = 3,768.93/x
  3. Step 3: Cross multiply
    5,893.65x = 8,124.54 × 3,768.93
  4. Step 4: Simplify right side
    5,893.65x = 30,620,822.54
  5. Step 5: Solve for x
    x = 30,620,822.54/5,893.65
  6. Step 6: Final answer
    x = 5,195.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.