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Finding the Fourth Proportional to 5,923.92, 8,165.55 and 4,034.86

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Solution

The fourth proportional to 5,923.92, 8,165.55 and 4,034.86 is: 5,561.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,923.92 : 8,165.55 = 4,034.86 : x
  2. Step 2: Convert to fraction form
    5,923.92/8,165.55 = 4,034.86/x
  3. Step 3: Cross multiply
    5,923.92x = 8,165.55 × 4,034.86
  4. Step 4: Simplify right side
    5,923.92x = 32,946,851.07
  5. Step 5: Solve for x
    x = 32,946,851.07/5,923.92
  6. Step 6: Final answer
    x = 5,561.66

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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.