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Finding the Fourth Proportional to 3,533.84, 4,876.74 and 1,940.57

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Solution

The fourth proportional to 3,533.84, 4,876.74 and 1,940.57 is: 2,678.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,533.84 : 4,876.74 = 1,940.57 : x
  2. Step 2: Convert to fraction form
    3,533.84/4,876.74 = 1,940.57/x
  3. Step 3: Cross multiply
    3,533.84x = 4,876.74 × 1,940.57
  4. Step 4: Simplify right side
    3,533.84x = 9,463,630.96
  5. Step 5: Solve for x
    x = 9,463,630.96/3,533.84
  6. Step 6: Final answer
    x = 2,678.01

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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.