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Finding the Fourth Proportional to 3,735.44, 5,606.63 and 1,887.86

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Solution

The fourth proportional to 3,735.44, 5,606.63 and 1,887.86 is: 2,833.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,735.44 : 5,606.63 = 1,887.86 : x
  2. Step 2: Convert to fraction form
    3,735.44/5,606.63 = 1,887.86/x
  3. Step 3: Cross multiply
    3,735.44x = 5,606.63 × 1,887.86
  4. Step 4: Simplify right side
    3,735.44x = 10,584,495.04
  5. Step 5: Solve for x
    x = 10,584,495.04/3,735.44
  6. Step 6: Final answer
    x = 2,833.54

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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.