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Finding the Fourth Proportional to 4,202.54, 6,307.17 and 1,894.22

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Solution

The fourth proportional to 4,202.54, 6,307.17 and 1,894.22 is: 2,842.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,202.54 : 6,307.17 = 1,894.22 : x
  2. Step 2: Convert to fraction form
    4,202.54/6,307.17 = 1,894.22/x
  3. Step 3: Cross multiply
    4,202.54x = 6,307.17 × 1,894.22
  4. Step 4: Simplify right side
    4,202.54x = 11,947,167.56
  5. Step 5: Solve for x
    x = 11,947,167.56/4,202.54
  6. Step 6: Final answer
    x = 2,842.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.