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Finding the Fourth Proportional to 3,392.65, 5,087.38 and 1,313.64

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Solution

The fourth proportional to 3,392.65, 5,087.38 and 1,313.64 is: 1,969.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,392.65 : 5,087.38 = 1,313.64 : x
  2. Step 2: Convert to fraction form
    3,392.65/5,087.38 = 1,313.64/x
  3. Step 3: Cross multiply
    3,392.65x = 5,087.38 × 1,313.64
  4. Step 4: Simplify right side
    3,392.65x = 6,682,985.86
  5. Step 5: Solve for x
    x = 6,682,985.86/3,392.65
  6. Step 6: Final answer
    x = 1,969.84

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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.