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Finding the Fourth Proportional to 5,806.13, 8,709.20 and 2,108.35

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Solution

The fourth proportional to 5,806.13, 8,709.20 and 2,108.35 is: 3,162.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,806.13 : 8,709.20 = 2,108.35 : x
  2. Step 2: Convert to fraction form
    5,806.13/8,709.20 = 2,108.35/x
  3. Step 3: Cross multiply
    5,806.13x = 8,709.20 × 2,108.35
  4. Step 4: Simplify right side
    5,806.13x = 18,362,068.64
  5. Step 5: Solve for x
    x = 18,362,068.64/5,806.13
  6. Step 6: Final answer
    x = 3,162.53

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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.