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Finding the Fourth Proportional to 6,440.86, 8,889.78 and 3,923.80

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Solution

The fourth proportional to 6,440.86, 8,889.78 and 3,923.80 is: 5,415.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,440.86 : 8,889.78 = 3,923.80 : x
  2. Step 2: Convert to fraction form
    6,440.86/8,889.78 = 3,923.80/x
  3. Step 3: Cross multiply
    6,440.86x = 8,889.78 × 3,923.80
  4. Step 4: Simplify right side
    6,440.86x = 34,881,718.76
  5. Step 5: Solve for x
    x = 34,881,718.76/6,440.86
  6. Step 6: Final answer
    x = 5,415.69

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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.