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Finding the Fourth Proportional to 3,574.94, 5,357.75 and 1,722.26

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Solution

The fourth proportional to 3,574.94, 5,357.75 and 1,722.26 is: 2,581.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,574.94 : 5,357.75 = 1,722.26 : x
  2. Step 2: Convert to fraction form
    3,574.94/5,357.75 = 1,722.26/x
  3. Step 3: Cross multiply
    3,574.94x = 5,357.75 × 1,722.26
  4. Step 4: Simplify right side
    3,574.94x = 9,227,443.30
  5. Step 5: Solve for x
    x = 9,227,443.30/3,574.94
  6. Step 6: Final answer
    x = 2,581.15

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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.