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Finding the Fourth Proportional to 3,645.64, 5,033.37 and 2,804.80

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Solution

The fourth proportional to 3,645.64, 5,033.37 and 2,804.80 is: 3,872.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,645.64 : 5,033.37 = 2,804.80 : x
  2. Step 2: Convert to fraction form
    3,645.64/5,033.37 = 2,804.80/x
  3. Step 3: Cross multiply
    3,645.64x = 5,033.37 × 2,804.80
  4. Step 4: Simplify right side
    3,645.64x = 14,117,596.18
  5. Step 5: Solve for x
    x = 14,117,596.18/3,645.64
  6. Step 6: Final answer
    x = 3,872.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.