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Finding the Fourth Proportional to 5,208.93, 7,813.94 and 1,313.37

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Solution

The fourth proportional to 5,208.93, 7,813.94 and 1,313.37 is: 1,970.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,208.93 : 7,813.94 = 1,313.37 : x
  2. Step 2: Convert to fraction form
    5,208.93/7,813.94 = 1,313.37/x
  3. Step 3: Cross multiply
    5,208.93x = 7,813.94 × 1,313.37
  4. Step 4: Simplify right side
    5,208.93x = 10,262,587.81
  5. Step 5: Solve for x
    x = 10,262,587.81/5,208.93
  6. Step 6: Final answer
    x = 1,970.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.