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Finding the Fourth Proportional to 3,873.36, 5,803.89 and 2,309.67

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Solution

The fourth proportional to 3,873.36, 5,803.89 and 2,309.67 is: 3,460.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,873.36 : 5,803.89 = 2,309.67 : x
  2. Step 2: Convert to fraction form
    3,873.36/5,803.89 = 2,309.67/x
  3. Step 3: Cross multiply
    3,873.36x = 5,803.89 × 2,309.67
  4. Step 4: Simplify right side
    3,873.36x = 13,405,070.62
  5. Step 5: Solve for x
    x = 13,405,070.62/3,873.36
  6. Step 6: Final answer
    x = 3,460.84

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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.