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Finding the Fourth Proportional to 5,674.56, 8,512.64 and 1,779.36

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Solution

The fourth proportional to 5,674.56, 8,512.64 and 1,779.36 is: 2,669.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674.56 : 8,512.64 = 1,779.36 : x
  2. Step 2: Convert to fraction form
    5,674.56/8,512.64 = 1,779.36/x
  3. Step 3: Cross multiply
    5,674.56x = 8,512.64 × 1,779.36
  4. Step 4: Simplify right side
    5,674.56x = 15,147,051.11
  5. Step 5: Solve for x
    x = 15,147,051.11/5,674.56
  6. Step 6: Final answer
    x = 2,669.29

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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.