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Finding the Fourth Proportional to 3,782.55, 5,675.45 and 1,316.03

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Solution

The fourth proportional to 3,782.55, 5,675.45 and 1,316.03 is: 1,974.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.55 : 5,675.45 = 1,316.03 : x
  2. Step 2: Convert to fraction form
    3,782.55/5,675.45 = 1,316.03/x
  3. Step 3: Cross multiply
    3,782.55x = 5,675.45 × 1,316.03
  4. Step 4: Simplify right side
    3,782.55x = 7,469,027.51
  5. Step 5: Solve for x
    x = 7,469,027.51/3,782.55
  6. Step 6: Final answer
    x = 1,974.60

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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.