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Finding the Fourth Proportional to 6,277.42, 8,664.60 and 3,761.16

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Solution

The fourth proportional to 6,277.42, 8,664.60 and 3,761.16 is: 5,191.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,277.42 : 8,664.60 = 3,761.16 : x
  2. Step 2: Convert to fraction form
    6,277.42/8,664.60 = 3,761.16/x
  3. Step 3: Cross multiply
    6,277.42x = 8,664.60 × 3,761.16
  4. Step 4: Simplify right side
    6,277.42x = 32,588,946.94
  5. Step 5: Solve for x
    x = 32,588,946.94/6,277.42
  6. Step 6: Final answer
    x = 5,191.46

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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.