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Finding the Fourth Proportional to 5,477.98, 8,216.13 and 1,779.67

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Solution

The fourth proportional to 5,477.98, 8,216.13 and 1,779.67 is: 2,669.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,477.98 : 8,216.13 = 1,779.67 : x
  2. Step 2: Convert to fraction form
    5,477.98/8,216.13 = 1,779.67/x
  3. Step 3: Cross multiply
    5,477.98x = 8,216.13 × 1,779.67
  4. Step 4: Simplify right side
    5,477.98x = 14,622,017.02
  5. Step 5: Solve for x
    x = 14,622,017.02/5,477.98
  6. Step 6: Final answer
    x = 2,669.24

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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.