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Finding the Fourth Proportional to 3,782.98, 5,675.40 and 1,317.82

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Solution

The fourth proportional to 3,782.98, 5,675.40 and 1,317.82 is: 1,977.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.98 : 5,675.40 = 1,317.82 : x
  2. Step 2: Convert to fraction form
    3,782.98/5,675.40 = 1,317.82/x
  3. Step 3: Cross multiply
    3,782.98x = 5,675.40 × 1,317.82
  4. Step 4: Simplify right side
    3,782.98x = 7,479,157.64
  5. Step 5: Solve for x
    x = 7,479,157.64/3,782.98
  6. Step 6: Final answer
    x = 1,977.06

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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.