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Finding the Fourth Proportional to 5,779.29, 8,647.23 and 3,430.68

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Solution

The fourth proportional to 5,779.29, 8,647.23 and 3,430.68 is: 5,133.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,779.29 : 8,647.23 = 3,430.68 : x
  2. Step 2: Convert to fraction form
    5,779.29/8,647.23 = 3,430.68/x
  3. Step 3: Cross multiply
    5,779.29x = 8,647.23 × 3,430.68
  4. Step 4: Simplify right side
    5,779.29x = 29,665,879.02
  5. Step 5: Solve for x
    x = 29,665,879.02/5,779.29
  6. Step 6: Final answer
    x = 5,133.14

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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.