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Finding the Fourth Proportional to 3,841.98, 5,762.52 and 2,261.64

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Solution

The fourth proportional to 3,841.98, 5,762.52 and 2,261.64 is: 3,392.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,841.98 : 5,762.52 = 2,261.64 : x
  2. Step 2: Convert to fraction form
    3,841.98/5,762.52 = 2,261.64/x
  3. Step 3: Cross multiply
    3,841.98x = 5,762.52 × 2,261.64
  4. Step 4: Simplify right side
    3,841.98x = 13,032,745.73
  5. Step 5: Solve for x
    x = 13,032,745.73/3,841.98
  6. Step 6: Final answer
    x = 3,392.20

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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.