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Finding the Fourth Proportional to 3,779.89, 5,667.62 and 1,146.60

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Solution

The fourth proportional to 3,779.89, 5,667.62 and 1,146.60 is: 1,719.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,779.89 : 5,667.62 = 1,146.60 : x
  2. Step 2: Convert to fraction form
    3,779.89/5,667.62 = 1,146.60/x
  3. Step 3: Cross multiply
    3,779.89x = 5,667.62 × 1,146.60
  4. Step 4: Simplify right side
    3,779.89x = 6,498,487.36
  5. Step 5: Solve for x
    x = 6,498,487.36/3,779.89
  6. Step 6: Final answer
    x = 1,719.23

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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.