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Finding the Fourth Proportional to 2,828.01, 3,894.42 and 2,647.50

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Solution

The fourth proportional to 2,828.01, 3,894.42 and 2,647.50 is: 3,645.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,828.01 : 3,894.42 = 2,647.50 : x
  2. Step 2: Convert to fraction form
    2,828.01/3,894.42 = 2,647.50/x
  3. Step 3: Cross multiply
    2,828.01x = 3,894.42 × 2,647.50
  4. Step 4: Simplify right side
    2,828.01x = 10,310,476.95
  5. Step 5: Solve for x
    x = 10,310,476.95/2,828.01
  6. Step 6: Final answer
    x = 3,645.84

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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.