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Finding the Fourth Proportional to 3,774.59, 5,208.68 and 2,096.00

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Solution

The fourth proportional to 3,774.59, 5,208.68 and 2,096.00 is: 2,892.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,774.59 : 5,208.68 = 2,096.00 : x
  2. Step 2: Convert to fraction form
    3,774.59/5,208.68 = 2,096.00/x
  3. Step 3: Cross multiply
    3,774.59x = 5,208.68 × 2,096.00
  4. Step 4: Simplify right side
    3,774.59x = 10,917,392.01
  5. Step 5: Solve for x
    x = 10,917,392.01/3,774.59
  6. Step 6: Final answer
    x = 2,892.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.