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Finding the Fourth Proportional to 3,670.46, 5,065.22 and 2,098.58

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Solution

The fourth proportional to 3,670.46, 5,065.22 and 2,098.58 is: 2,896.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.46 : 5,065.22 = 2,098.58 : x
  2. Step 2: Convert to fraction form
    3,670.46/5,065.22 = 2,098.58/x
  3. Step 3: Cross multiply
    3,670.46x = 5,065.22 × 2,098.58
  4. Step 4: Simplify right side
    3,670.46x = 10,629,787.30
  5. Step 5: Solve for x
    x = 10,629,787.30/3,670.46
  6. Step 6: Final answer
    x = 2,896.04

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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.