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Finding the Fourth Proportional to 3,745.46, 5,618.32 and 1,405.23

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Solution

The fourth proportional to 3,745.46, 5,618.32 and 1,405.23 is: 2,107.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,745.46 : 5,618.32 = 1,405.23 : x
  2. Step 2: Convert to fraction form
    3,745.46/5,618.32 = 1,405.23/x
  3. Step 3: Cross multiply
    3,745.46x = 5,618.32 × 1,405.23
  4. Step 4: Simplify right side
    3,745.46x = 7,895,031.81
  5. Step 5: Solve for x
    x = 7,895,031.81/3,745.46
  6. Step 6: Final answer
    x = 2,107.89

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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.