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Finding the Fourth Proportional to 3,409.67, 5,114.35 and 1,408.12

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Solution

The fourth proportional to 3,409.67, 5,114.35 and 1,408.12 is: 2,112.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.67 : 5,114.35 = 1,408.12 : x
  2. Step 2: Convert to fraction form
    3,409.67/5,114.35 = 1,408.12/x
  3. Step 3: Cross multiply
    3,409.67x = 5,114.35 × 1,408.12
  4. Step 4: Simplify right side
    3,409.67x = 7,201,607.50
  5. Step 5: Solve for x
    x = 7,201,607.50/3,409.67
  6. Step 6: Final answer
    x = 2,112.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.