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Finding the Fourth Proportional to 4,149.47, 6,224.20 and 1,228.01

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Solution

The fourth proportional to 4,149.47, 6,224.20 and 1,228.01 is: 1,842.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,149.47 : 6,224.20 = 1,228.01 : x
  2. Step 2: Convert to fraction form
    4,149.47/6,224.20 = 1,228.01/x
  3. Step 3: Cross multiply
    4,149.47x = 6,224.20 × 1,228.01
  4. Step 4: Simplify right side
    4,149.47x = 7,643,345.65
  5. Step 5: Solve for x
    x = 7,643,345.65/4,149.47
  6. Step 6: Final answer
    x = 1,842.00

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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.