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Finding the Fourth Proportional to 3,476.80, 4,792.80 and 2,295.82

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Solution

The fourth proportional to 3,476.80, 4,792.80 and 2,295.82 is: 3,164.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,476.80 : 4,792.80 = 2,295.82 : x
  2. Step 2: Convert to fraction form
    3,476.80/4,792.80 = 2,295.82/x
  3. Step 3: Cross multiply
    3,476.80x = 4,792.80 × 2,295.82
  4. Step 4: Simplify right side
    3,476.80x = 11,003,406.10
  5. Step 5: Solve for x
    x = 11,003,406.10/3,476.80
  6. Step 6: Final answer
    x = 3,164.81

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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.