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Finding the Fourth Proportional to 3,782.93, 5,675.30 and 1,185.87

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Solution

The fourth proportional to 3,782.93, 5,675.30 and 1,185.87 is: 1,779.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.93 : 5,675.30 = 1,185.87 : x
  2. Step 2: Convert to fraction form
    3,782.93/5,675.30 = 1,185.87/x
  3. Step 3: Cross multiply
    3,782.93x = 5,675.30 × 1,185.87
  4. Step 4: Simplify right side
    3,782.93x = 6,730,142.43
  5. Step 5: Solve for x
    x = 6,730,142.43/3,782.93
  6. Step 6: Final answer
    x = 1,779.08

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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.