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Finding the Fourth Proportional to 3,885.40, 5,361.68 and 2,117

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Solution

The fourth proportional to 3,885.40, 5,361.68 and 2,117 is: 2,921.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,885.40 : 5,361.68 = 2,117 : x
  2. Step 2: Convert to fraction form
    3,885.40/5,361.68 = 2,117/x
  3. Step 3: Cross multiply
    3,885.40x = 5,361.68 × 2,117
  4. Step 4: Simplify right side
    3,885.40x = 11,350,676.56
  5. Step 5: Solve for x
    x = 11,350,676.56/3,885.40
  6. Step 6: Final answer
    x = 2,921.37

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1.5x scale

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.