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Finding the Fourth Proportional to 3,788.82, 5,683.10 and 1,840.50

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Solution

The fourth proportional to 3,788.82, 5,683.10 and 1,840.50 is: 2,760.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,788.82 : 5,683.10 = 1,840.50 : x
  2. Step 2: Convert to fraction form
    3,788.82/5,683.10 = 1,840.50/x
  3. Step 3: Cross multiply
    3,788.82x = 5,683.10 × 1,840.50
  4. Step 4: Simplify right side
    3,788.82x = 10,459,745.55
  5. Step 5: Solve for x
    x = 10,459,745.55/3,788.82
  6. Step 6: Final answer
    x = 2,760.69

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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.