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Finding the Fourth Proportional to 3,461.60, 4,792.56 and 3,288.80

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Solution

The fourth proportional to 3,461.60, 4,792.56 and 3,288.80 is: 4,553.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461.60 : 4,792.56 = 3,288.80 : x
  2. Step 2: Convert to fraction form
    3,461.60/4,792.56 = 3,288.80/x
  3. Step 3: Cross multiply
    3,461.60x = 4,792.56 × 3,288.80
  4. Step 4: Simplify right side
    3,461.60x = 15,761,771.33
  5. Step 5: Solve for x
    x = 15,761,771.33/3,461.60
  6. Step 6: Final answer
    x = 4,553.32

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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.