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Finding the Fourth Proportional to 3,313.26, 4,571.13 and 2,053.00

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Solution

The fourth proportional to 3,313.26, 4,571.13 and 2,053.00 is: 2,832.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,313.26 : 4,571.13 = 2,053.00 : x
  2. Step 2: Convert to fraction form
    3,313.26/4,571.13 = 2,053.00/x
  3. Step 3: Cross multiply
    3,313.26x = 4,571.13 × 2,053.00
  4. Step 4: Simplify right side
    3,313.26x = 9,384,543.30
  5. Step 5: Solve for x
    x = 9,384,543.30/3,313.26
  6. Step 6: Final answer
    x = 2,832.42

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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.