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Finding the Fourth Proportional to 3,809.64, 5,255.85 and 2,316.99

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Solution

The fourth proportional to 3,809.64, 5,255.85 and 2,316.99 is: 3,196.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.64 : 5,255.85 = 2,316.99 : x
  2. Step 2: Convert to fraction form
    3,809.64/5,255.85 = 2,316.99/x
  3. Step 3: Cross multiply
    3,809.64x = 5,255.85 × 2,316.99
  4. Step 4: Simplify right side
    3,809.64x = 12,177,751.89
  5. Step 5: Solve for x
    x = 12,177,751.89/3,809.64
  6. Step 6: Final answer
    x = 3,196.56

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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.