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Finding the Fourth Proportional to 6,477.58, 8,940.64 and 4,244.86

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Solution

The fourth proportional to 6,477.58, 8,940.64 and 4,244.86 is: 5,858.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,477.58 : 8,940.64 = 4,244.86 : x
  2. Step 2: Convert to fraction form
    6,477.58/8,940.64 = 4,244.86/x
  3. Step 3: Cross multiply
    6,477.58x = 8,940.64 × 4,244.86
  4. Step 4: Simplify right side
    6,477.58x = 37,951,720.41
  5. Step 5: Solve for x
    x = 37,951,720.41/6,477.58
  6. Step 6: Final answer
    x = 5,858.94

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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.