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Finding the Fourth Proportional to 3,376.58, 4,661.82 and 2,201

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Solution

The fourth proportional to 3,376.58, 4,661.82 and 2,201 is: 3,038.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,376.58 : 4,661.82 = 2,201 : x
  2. Step 2: Convert to fraction form
    3,376.58/4,661.82 = 2,201/x
  3. Step 3: Cross multiply
    3,376.58x = 4,661.82 × 2,201
  4. Step 4: Simplify right side
    3,376.58x = 10,260,665.82
  5. Step 5: Solve for x
    x = 10,260,665.82/3,376.58
  6. Step 6: Final answer
    x = 3,038.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.