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Finding the Fourth Proportional to 6,289.84, 8,677.56 and 4,051.54

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Solution

The fourth proportional to 6,289.84, 8,677.56 and 4,051.54 is: 5,589.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,289.84 : 8,677.56 = 4,051.54 : x
  2. Step 2: Convert to fraction form
    6,289.84/8,677.56 = 4,051.54/x
  3. Step 3: Cross multiply
    6,289.84x = 8,677.56 × 4,051.54
  4. Step 4: Simplify right side
    6,289.84x = 35,157,481.44
  5. Step 5: Solve for x
    x = 35,157,481.44/6,289.84
  6. Step 6: Final answer
    x = 5,589.57

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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.