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Finding the Fourth Proportional to 3,802.46, 5,247.40 and 2,309.98

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Solution

The fourth proportional to 3,802.46, 5,247.40 and 2,309.98 is: 3,187.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802.46 : 5,247.40 = 2,309.98 : x
  2. Step 2: Convert to fraction form
    3,802.46/5,247.40 = 2,309.98/x
  3. Step 3: Cross multiply
    3,802.46x = 5,247.40 × 2,309.98
  4. Step 4: Simplify right side
    3,802.46x = 12,121,389.05
  5. Step 5: Solve for x
    x = 12,121,389.05/3,802.46
  6. Step 6: Final answer
    x = 3,187.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.