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Finding the Fourth Proportional to 3,393.29, 5,089.69 and 1,053.24

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Solution

The fourth proportional to 3,393.29, 5,089.69 and 1,053.24 is: 1,579.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,393.29 : 5,089.69 = 1,053.24 : x
  2. Step 2: Convert to fraction form
    3,393.29/5,089.69 = 1,053.24/x
  3. Step 3: Cross multiply
    3,393.29x = 5,089.69 × 1,053.24
  4. Step 4: Simplify right side
    3,393.29x = 5,360,655.00
  5. Step 5: Solve for x
    x = 5,360,655.00/3,393.29
  6. Step 6: Final answer
    x = 1,579.78

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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.