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Finding the Fourth Proportional to 3,351.34, 5,026.20 and 1,405

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Solution

The fourth proportional to 3,351.34, 5,026.20 and 1,405 is: 2,107.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,351.34 : 5,026.20 = 1,405 : x
  2. Step 2: Convert to fraction form
    3,351.34/5,026.20 = 1,405/x
  3. Step 3: Cross multiply
    3,351.34x = 5,026.20 × 1,405
  4. Step 4: Simplify right side
    3,351.34x = 7,061,811
  5. Step 5: Solve for x
    x = 7,061,811/3,351.34
  6. Step 6: Final answer
    x = 2,107.16

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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.