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Finding the Fourth Proportional to 3,693.56, 5,097.06 and 2,121.56

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Solution

The fourth proportional to 3,693.56, 5,097.06 and 2,121.56 is: 2,927.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,693.56 : 5,097.06 = 2,121.56 : x
  2. Step 2: Convert to fraction form
    3,693.56/5,097.06 = 2,121.56/x
  3. Step 3: Cross multiply
    3,693.56x = 5,097.06 × 2,121.56
  4. Step 4: Simplify right side
    3,693.56x = 10,813,718.61
  5. Step 5: Solve for x
    x = 10,813,718.61/3,693.56
  6. Step 6: Final answer
    x = 2,927.72

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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.