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Finding the Fourth Proportional to 6,140.59, 8,474.06 and 3,346.09

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Solution

The fourth proportional to 6,140.59, 8,474.06 and 3,346.09 is: 4,617.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,140.59 : 8,474.06 = 3,346.09 : x
  2. Step 2: Convert to fraction form
    6,140.59/8,474.06 = 3,346.09/x
  3. Step 3: Cross multiply
    6,140.59x = 8,474.06 × 3,346.09
  4. Step 4: Simplify right side
    6,140.59x = 28,354,967.43
  5. Step 5: Solve for x
    x = 28,354,967.43/6,140.59
  6. Step 6: Final answer
    x = 4,617.63

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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.