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Finding the Fourth Proportional to 3,884.88, 5,828.48 and 3,652.80

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Solution

The fourth proportional to 3,884.88, 5,828.48 and 3,652.80 is: 5,480.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,884.88 : 5,828.48 = 3,652.80 : x
  2. Step 2: Convert to fraction form
    3,884.88/5,828.48 = 3,652.80/x
  3. Step 3: Cross multiply
    3,884.88x = 5,828.48 × 3,652.80
  4. Step 4: Simplify right side
    3,884.88x = 21,290,271.74
  5. Step 5: Solve for x
    x = 21,290,271.74/3,884.88
  6. Step 6: Final answer
    x = 5,480.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.