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Finding the Fourth Proportional to 3,538.58, 5,303.27 and 1,456.22

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Solution

The fourth proportional to 3,538.58, 5,303.27 and 1,456.22 is: 2,182.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,538.58 : 5,303.27 = 1,456.22 : x
  2. Step 2: Convert to fraction form
    3,538.58/5,303.27 = 1,456.22/x
  3. Step 3: Cross multiply
    3,538.58x = 5,303.27 × 1,456.22
  4. Step 4: Simplify right side
    3,538.58x = 7,722,694.04
  5. Step 5: Solve for x
    x = 7,722,694.04/3,538.58
  6. Step 6: Final answer
    x = 2,182.43

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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.