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Finding the Fourth Proportional to 5,779.46, 8,669.20 and 1,884.18

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Solution

The fourth proportional to 5,779.46, 8,669.20 and 1,884.18 is: 2,826.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,779.46 : 8,669.20 = 1,884.18 : x
  2. Step 2: Convert to fraction form
    5,779.46/8,669.20 = 1,884.18/x
  3. Step 3: Cross multiply
    5,779.46x = 8,669.20 × 1,884.18
  4. Step 4: Simplify right side
    5,779.46x = 16,334,333.26
  5. Step 5: Solve for x
    x = 16,334,333.26/5,779.46
  6. Step 6: Final answer
    x = 2,826.27

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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.