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Finding the Fourth Proportional to 3,592.06, 4,957.14 and 2,194

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Solution

The fourth proportional to 3,592.06, 4,957.14 and 2,194 is: 3,027.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,592.06 : 4,957.14 = 2,194 : x
  2. Step 2: Convert to fraction form
    3,592.06/4,957.14 = 2,194/x
  3. Step 3: Cross multiply
    3,592.06x = 4,957.14 × 2,194
  4. Step 4: Simplify right side
    3,592.06x = 10,875,965.16
  5. Step 5: Solve for x
    x = 10,875,965.16/3,592.06
  6. Step 6: Final answer
    x = 3,027.78

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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.