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Finding the Fourth Proportional to 6,289.34, 8,678.93 and 3,770.19

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Solution

The fourth proportional to 6,289.34, 8,678.93 and 3,770.19 is: 5,202.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,289.34 : 8,678.93 = 3,770.19 : x
  2. Step 2: Convert to fraction form
    6,289.34/8,678.93 = 3,770.19/x
  3. Step 3: Cross multiply
    6,289.34x = 8,678.93 × 3,770.19
  4. Step 4: Simplify right side
    6,289.34x = 32,721,224.52
  5. Step 5: Solve for x
    x = 32,721,224.52/6,289.34
  6. Step 6: Final answer
    x = 5,202.65

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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.