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Finding the Fourth Proportional to 5,625.51, 7,764.02 and 3,268.95

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Solution

The fourth proportional to 5,625.51, 7,764.02 and 3,268.95 is: 4,511.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,625.51 : 7,764.02 = 3,268.95 : x
  2. Step 2: Convert to fraction form
    5,625.51/7,764.02 = 3,268.95/x
  3. Step 3: Cross multiply
    5,625.51x = 7,764.02 × 3,268.95
  4. Step 4: Simplify right side
    5,625.51x = 25,380,193.18
  5. Step 5: Solve for x
    x = 25,380,193.18/5,625.51
  6. Step 6: Final answer
    x = 4,511.63

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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.