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Finding the Fourth Proportional to 5,802.96, 8,705.38 and 2,105.58

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Solution

The fourth proportional to 5,802.96, 8,705.38 and 2,105.58 is: 3,158.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,802.96 : 8,705.38 = 2,105.58 : x
  2. Step 2: Convert to fraction form
    5,802.96/8,705.38 = 2,105.58/x
  3. Step 3: Cross multiply
    5,802.96x = 8,705.38 × 2,105.58
  4. Step 4: Simplify right side
    5,802.96x = 18,329,874.02
  5. Step 5: Solve for x
    x = 18,329,874.02/5,802.96
  6. Step 6: Final answer
    x = 3,158.71

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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.