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Finding the Fourth Proportional to 3,864.53, 5,333.02 and 2,096.14

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Solution

The fourth proportional to 3,864.53, 5,333.02 and 2,096.14 is: 2,892.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,864.53 : 5,333.02 = 2,096.14 : x
  2. Step 2: Convert to fraction form
    3,864.53/5,333.02 = 2,096.14/x
  3. Step 3: Cross multiply
    3,864.53x = 5,333.02 × 2,096.14
  4. Step 4: Simplify right side
    3,864.53x = 11,178,739.76
  5. Step 5: Solve for x
    x = 11,178,739.76/3,864.53
  6. Step 6: Final answer
    x = 2,892.65

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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.