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Finding the Fourth Proportional to 4,147.98, 6,223.80 and 1,684.58

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Solution

The fourth proportional to 4,147.98, 6,223.80 and 1,684.58 is: 2,527.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,147.98 : 6,223.80 = 1,684.58 : x
  2. Step 2: Convert to fraction form
    4,147.98/6,223.80 = 1,684.58/x
  3. Step 3: Cross multiply
    4,147.98x = 6,223.80 × 1,684.58
  4. Step 4: Simplify right side
    4,147.98x = 10,484,489.00
  5. Step 5: Solve for x
    x = 10,484,489.00/4,147.98
  6. Step 6: Final answer
    x = 2,527.61

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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.