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Finding the Fourth Proportional to 5,648.51, 7,794.80 and 3,290.49

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Solution

The fourth proportional to 5,648.51, 7,794.80 and 3,290.49 is: 4,540.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,648.51 : 7,794.80 = 3,290.49 : x
  2. Step 2: Convert to fraction form
    5,648.51/7,794.80 = 3,290.49/x
  3. Step 3: Cross multiply
    5,648.51x = 7,794.80 × 3,290.49
  4. Step 4: Simplify right side
    5,648.51x = 25,648,711.45
  5. Step 5: Solve for x
    x = 25,648,711.45/5,648.51
  6. Step 6: Final answer
    x = 4,540.80

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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.