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Finding the Fourth Proportional to 3,624.41, 5,437.53 and 1,027.37

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Solution

The fourth proportional to 3,624.41, 5,437.53 and 1,027.37 is: 1,541.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,624.41 : 5,437.53 = 1,027.37 : x
  2. Step 2: Convert to fraction form
    3,624.41/5,437.53 = 1,027.37/x
  3. Step 3: Cross multiply
    3,624.41x = 5,437.53 × 1,027.37
  4. Step 4: Simplify right side
    3,624.41x = 5,586,355.20
  5. Step 5: Solve for x
    x = 5,586,355.20/3,624.41
  6. Step 6: Final answer
    x = 1,541.31

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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.