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Finding the Fourth Proportional to 3,408.64, 4,703.92 and 1,916.62

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Solution

The fourth proportional to 3,408.64, 4,703.92 and 1,916.62 is: 2,644.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,408.64 : 4,703.92 = 1,916.62 : x
  2. Step 2: Convert to fraction form
    3,408.64/4,703.92 = 1,916.62/x
  3. Step 3: Cross multiply
    3,408.64x = 4,703.92 × 1,916.62
  4. Step 4: Simplify right side
    3,408.64x = 9,015,627.15
  5. Step 5: Solve for x
    x = 9,015,627.15/3,408.64
  6. Step 6: Final answer
    x = 2,644.93

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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.