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Finding the Fourth Proportional to 3,779.12, 5,666.50 and 1,467.92

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Solution

The fourth proportional to 3,779.12, 5,666.50 and 1,467.92 is: 2,201.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,779.12 : 5,666.50 = 1,467.92 : x
  2. Step 2: Convert to fraction form
    3,779.12/5,666.50 = 1,467.92/x
  3. Step 3: Cross multiply
    3,779.12x = 5,666.50 × 1,467.92
  4. Step 4: Simplify right side
    3,779.12x = 8,317,968.68
  5. Step 5: Solve for x
    x = 8,317,968.68/3,779.12
  6. Step 6: Final answer
    x = 2,201.03

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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.