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Finding the Fourth Proportional to 6,143.74, 8,478.30 and 3,349.24

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Solution

The fourth proportional to 6,143.74, 8,478.30 and 3,349.24 is: 4,621.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,143.74 : 8,478.30 = 3,349.24 : x
  2. Step 2: Convert to fraction form
    6,143.74/8,478.30 = 3,349.24/x
  3. Step 3: Cross multiply
    6,143.74x = 8,478.30 × 3,349.24
  4. Step 4: Simplify right side
    6,143.74x = 28,395,861.49
  5. Step 5: Solve for x
    x = 28,395,861.49/6,143.74
  6. Step 6: Final answer
    x = 4,621.92

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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.