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Finding the Fourth Proportional to 5,779.67, 8,669.50 and 4,139.42

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Solution

The fourth proportional to 5,779.67, 8,669.50 and 4,139.42 is: 6,209.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,779.67 : 8,669.50 = 4,139.42 : x
  2. Step 2: Convert to fraction form
    5,779.67/8,669.50 = 4,139.42/x
  3. Step 3: Cross multiply
    5,779.67x = 8,669.50 × 4,139.42
  4. Step 4: Simplify right side
    5,779.67x = 35,886,647.99
  5. Step 5: Solve for x
    x = 35,886,647.99/5,779.67
  6. Step 6: Final answer
    x = 6,209.12

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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.