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Finding the Fourth Proportional to 3,774.77, 5,208.89 and 2,096.02

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Solution

The fourth proportional to 3,774.77, 5,208.89 and 2,096.02 is: 2,892.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,774.77 : 5,208.89 = 2,096.02 : x
  2. Step 2: Convert to fraction form
    3,774.77/5,208.89 = 2,096.02/x
  3. Step 3: Cross multiply
    3,774.77x = 5,208.89 × 2,096.02
  4. Step 4: Simplify right side
    3,774.77x = 10,917,937.62
  5. Step 5: Solve for x
    x = 10,917,937.62/3,774.77
  6. Step 6: Final answer
    x = 2,892.35

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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.