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Finding the Fourth Proportional to 3,455.32, 4,767 and 2,057.80

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Solution

The fourth proportional to 3,455.32, 4,767 and 2,057.80 is: 2,838.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,455.32 : 4,767 = 2,057.80 : x
  2. Step 2: Convert to fraction form
    3,455.32/4,767 = 2,057.80/x
  3. Step 3: Cross multiply
    3,455.32x = 4,767 × 2,057.80
  4. Step 4: Simplify right side
    3,455.32x = 9,809,532.60
  5. Step 5: Solve for x
    x = 9,809,532.60/3,455.32
  6. Step 6: Final answer
    x = 2,838.97

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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.