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Finding the Fourth Proportional to 5,674.86, 8,512.28 and 1,779.56

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Solution

The fourth proportional to 5,674.86, 8,512.28 and 1,779.56 is: 2,669.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674.86 : 8,512.28 = 1,779.56 : x
  2. Step 2: Convert to fraction form
    5,674.86/8,512.28 = 1,779.56/x
  3. Step 3: Cross multiply
    5,674.86x = 8,512.28 × 1,779.56
  4. Step 4: Simplify right side
    5,674.86x = 15,148,113.00
  5. Step 5: Solve for x
    x = 15,148,113.00/5,674.86
  6. Step 6: Final answer
    x = 2,669.34

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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.