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Finding the Fourth Proportional to 3,679.05, 5,518.58 and 1,830.45

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Solution

The fourth proportional to 3,679.05, 5,518.58 and 1,830.45 is: 2,745.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,679.05 : 5,518.58 = 1,830.45 : x
  2. Step 2: Convert to fraction form
    3,679.05/5,518.58 = 1,830.45/x
  3. Step 3: Cross multiply
    3,679.05x = 5,518.58 × 1,830.45
  4. Step 4: Simplify right side
    3,679.05x = 10,101,475.61
  5. Step 5: Solve for x
    x = 10,101,475.61/3,679.05
  6. Step 6: Final answer
    x = 2,745.68

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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.