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Finding the Fourth Proportional to 5,067.96, 7,603.55 and 1,782.19

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Solution

The fourth proportional to 5,067.96, 7,603.55 and 1,782.19 is: 2,673.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,067.96 : 7,603.55 = 1,782.19 : x
  2. Step 2: Convert to fraction form
    5,067.96/7,603.55 = 1,782.19/x
  3. Step 3: Cross multiply
    5,067.96x = 7,603.55 × 1,782.19
  4. Step 4: Simplify right side
    5,067.96x = 13,550,970.77
  5. Step 5: Solve for x
    x = 13,550,970.77/5,067.96
  6. Step 6: Final answer
    x = 2,673.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.