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Finding the Fourth Proportional to 6,334.34, 8,740.41 and 3,539.30

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Solution

The fourth proportional to 6,334.34, 8,740.41 and 3,539.30 is: 4,883.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,334.34 : 8,740.41 = 3,539.30 : x
  2. Step 2: Convert to fraction form
    6,334.34/8,740.41 = 3,539.30/x
  3. Step 3: Cross multiply
    6,334.34x = 8,740.41 × 3,539.30
  4. Step 4: Simplify right side
    6,334.34x = 30,934,933.11
  5. Step 5: Solve for x
    x = 30,934,933.11/6,334.34
  6. Step 6: Final answer
    x = 4,883.69

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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.