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Finding the Fourth Proportional to 3,568.50, 4,924.08 and 1,974.94

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Solution

The fourth proportional to 3,568.50, 4,924.08 and 1,974.94 is: 2,725.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,568.50 : 4,924.08 = 1,974.94 : x
  2. Step 2: Convert to fraction form
    3,568.50/4,924.08 = 1,974.94/x
  3. Step 3: Cross multiply
    3,568.50x = 4,924.08 × 1,974.94
  4. Step 4: Simplify right side
    3,568.50x = 9,724,762.56
  5. Step 5: Solve for x
    x = 9,724,762.56/3,568.50
  6. Step 6: Final answer
    x = 2,725.17

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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.