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Finding the Fourth Proportional to 4,427.74, 6,644.62 and 1,830.66

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Solution

The fourth proportional to 4,427.74, 6,644.62 and 1,830.66 is: 2,747.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,427.74 : 6,644.62 = 1,830.66 : x
  2. Step 2: Convert to fraction form
    4,427.74/6,644.62 = 1,830.66/x
  3. Step 3: Cross multiply
    4,427.74x = 6,644.62 × 1,830.66
  4. Step 4: Simplify right side
    4,427.74x = 12,164,040.05
  5. Step 5: Solve for x
    x = 12,164,040.05/4,427.74
  6. Step 6: Final answer
    x = 2,747.23

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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.