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Finding the Fourth Proportional to 3,408.21, 4,703.40 and 1,916.19

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Solution

The fourth proportional to 3,408.21, 4,703.40 and 1,916.19 is: 2,644.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,408.21 : 4,703.40 = 1,916.19 : x
  2. Step 2: Convert to fraction form
    3,408.21/4,703.40 = 1,916.19/x
  3. Step 3: Cross multiply
    3,408.21x = 4,703.40 × 1,916.19
  4. Step 4: Simplify right side
    3,408.21x = 9,012,608.05
  5. Step 5: Solve for x
    x = 9,012,608.05/3,408.21
  6. Step 6: Final answer
    x = 2,644.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.