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Finding the Fourth Proportional to 4,147.08, 6,219.90 and 1,549.48

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Solution

The fourth proportional to 4,147.08, 6,219.90 and 1,549.48 is: 2,323.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,147.08 : 6,219.90 = 1,549.48 : x
  2. Step 2: Convert to fraction form
    4,147.08/6,219.90 = 1,549.48/x
  3. Step 3: Cross multiply
    4,147.08x = 6,219.90 × 1,549.48
  4. Step 4: Simplify right side
    4,147.08x = 9,637,610.65
  5. Step 5: Solve for x
    x = 9,637,610.65/4,147.08
  6. Step 6: Final answer
    x = 2,323.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.