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Finding the Fourth Proportional to 3,477.89, 4,799.44 and 1,884.50

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Solution

The fourth proportional to 3,477.89, 4,799.44 and 1,884.50 is: 2,600.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,477.89 : 4,799.44 = 1,884.50 : x
  2. Step 2: Convert to fraction form
    3,477.89/4,799.44 = 1,884.50/x
  3. Step 3: Cross multiply
    3,477.89x = 4,799.44 × 1,884.50
  4. Step 4: Simplify right side
    3,477.89x = 9,044,551.97
  5. Step 5: Solve for x
    x = 9,044,551.97/3,477.89
  6. Step 6: Final answer
    x = 2,600.59

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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.