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Finding the Fourth Proportional to 3,361.64, 4,638.85 and 1,869.52

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Solution

The fourth proportional to 3,361.64, 4,638.85 and 1,869.52 is: 2,579.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,361.64 : 4,638.85 = 1,869.52 : x
  2. Step 2: Convert to fraction form
    3,361.64/4,638.85 = 1,869.52/x
  3. Step 3: Cross multiply
    3,361.64x = 4,638.85 × 1,869.52
  4. Step 4: Simplify right side
    3,361.64x = 8,672,422.85
  5. Step 5: Solve for x
    x = 8,672,422.85/3,361.64
  6. Step 6: Final answer
    x = 2,579.82

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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.