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Finding the Fourth Proportional to 6,077, 8,385.70 and 3,558.32

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Solution

The fourth proportional to 6,077, 8,385.70 and 3,558.32 is: 4,910.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,077 : 8,385.70 = 3,558.32 : x
  2. Step 2: Convert to fraction form
    6,077/8,385.70 = 3,558.32/x
  3. Step 3: Cross multiply
    6,077x = 8,385.70 × 3,558.32
  4. Step 4: Simplify right side
    6,077x = 29,839,004.02
  5. Step 5: Solve for x
    x = 29,839,004.02/6,077
  6. Step 6: Final answer
    x = 4,910.15

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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.