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Finding the Fourth Proportional to 5,533.81, 7,644.14 and 4,422.54

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Solution

The fourth proportional to 5,533.81, 7,644.14 and 4,422.54 is: 6,109.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,533.81 : 7,644.14 = 4,422.54 : x
  2. Step 2: Convert to fraction form
    5,533.81/7,644.14 = 4,422.54/x
  3. Step 3: Cross multiply
    5,533.81x = 7,644.14 × 4,422.54
  4. Step 4: Simplify right side
    5,533.81x = 33,806,514.92
  5. Step 5: Solve for x
    x = 33,806,514.92/5,533.81
  6. Step 6: Final answer
    x = 6,109.08

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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.