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Finding the Fourth Proportional to 3,733.67, 5,597.67 and 1,883.90

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Solution

The fourth proportional to 3,733.67, 5,597.67 and 1,883.90 is: 2,824.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,733.67 : 5,597.67 = 1,883.90 : x
  2. Step 2: Convert to fraction form
    3,733.67/5,597.67 = 1,883.90/x
  3. Step 3: Cross multiply
    3,733.67x = 5,597.67 × 1,883.90
  4. Step 4: Simplify right side
    3,733.67x = 10,545,450.51
  5. Step 5: Solve for x
    x = 10,545,450.51/3,733.67
  6. Step 6: Final answer
    x = 2,824.42

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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.