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Finding the Fourth Proportional to 5,208.79, 7,813.32 and 1,313.26

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Solution

The fourth proportional to 5,208.79, 7,813.32 and 1,313.26 is: 1,969.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,208.79 : 7,813.32 = 1,313.26 : x
  2. Step 2: Convert to fraction form
    5,208.79/7,813.32 = 1,313.26/x
  3. Step 3: Cross multiply
    5,208.79x = 7,813.32 × 1,313.26
  4. Step 4: Simplify right side
    5,208.79x = 10,260,920.62
  5. Step 5: Solve for x
    x = 10,260,920.62/5,208.79
  6. Step 6: Final answer
    x = 1,969.92

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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.