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Finding the Fourth Proportional to 6,143.65, 8,478.22 and 3,349.15

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Solution

The fourth proportional to 6,143.65, 8,478.22 and 3,349.15 is: 4,621.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,143.65 : 8,478.22 = 3,349.15 : x
  2. Step 2: Convert to fraction form
    6,143.65/8,478.22 = 3,349.15/x
  3. Step 3: Cross multiply
    6,143.65x = 8,478.22 × 3,349.15
  4. Step 4: Simplify right side
    6,143.65x = 28,394,830.51
  5. Step 5: Solve for x
    x = 28,394,830.51/6,143.65
  6. Step 6: Final answer
    x = 4,621.82

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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.