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Finding the Fourth Proportional to 6,208.54, 9,313.09 and 2,048.91

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Solution

The fourth proportional to 6,208.54, 9,313.09 and 2,048.91 is: 3,073.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,208.54 : 9,313.09 = 2,048.91 : x
  2. Step 2: Convert to fraction form
    6,208.54/9,313.09 = 2,048.91/x
  3. Step 3: Cross multiply
    6,208.54x = 9,313.09 × 2,048.91
  4. Step 4: Simplify right side
    6,208.54x = 19,081,643.19
  5. Step 5: Solve for x
    x = 19,081,643.19/6,208.54
  6. Step 6: Final answer
    x = 3,073.45

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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.