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Finding the Fourth Proportional to 6,289.63, 8,677.47 and 3,772.55

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Solution

The fourth proportional to 6,289.63, 8,677.47 and 3,772.55 is: 5,204.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,289.63 : 8,677.47 = 3,772.55 : x
  2. Step 2: Convert to fraction form
    6,289.63/8,677.47 = 3,772.55/x
  3. Step 3: Cross multiply
    6,289.63x = 8,677.47 × 3,772.55
  4. Step 4: Simplify right side
    6,289.63x = 32,736,189.45
  5. Step 5: Solve for x
    x = 32,736,189.45/6,289.63
  6. Step 6: Final answer
    x = 5,204.79

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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.