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Finding the Fourth Proportional to 5,478.24, 8,217.92 and 1,779.36

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Solution

The fourth proportional to 5,478.24, 8,217.92 and 1,779.36 is: 2,669.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,478.24 : 8,217.92 = 1,779.36 : x
  2. Step 2: Convert to fraction form
    5,478.24/8,217.92 = 1,779.36/x
  3. Step 3: Cross multiply
    5,478.24x = 8,217.92 × 1,779.36
  4. Step 4: Simplify right side
    5,478.24x = 14,622,638.13
  5. Step 5: Solve for x
    x = 14,622,638.13/5,478.24
  6. Step 6: Final answer
    x = 2,669.22

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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.