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Finding the Fourth Proportional to 3,778.25, 5,670.45 and 1,830.44

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Solution

The fourth proportional to 3,778.25, 5,670.45 and 1,830.44 is: 2,747.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778.25 : 5,670.45 = 1,830.44 : x
  2. Step 2: Convert to fraction form
    3,778.25/5,670.45 = 1,830.44/x
  3. Step 3: Cross multiply
    3,778.25x = 5,670.45 × 1,830.44
  4. Step 4: Simplify right side
    3,778.25x = 10,379,432.67
  5. Step 5: Solve for x
    x = 10,379,432.67/3,778.25
  6. Step 6: Final answer
    x = 2,747.16

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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.