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Finding the Fourth Proportional to 4,201.64, 5,794.98 and 3,648.68

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Solution

The fourth proportional to 4,201.64, 5,794.98 and 3,648.68 is: 5,032.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,201.64 : 5,794.98 = 3,648.68 : x
  2. Step 2: Convert to fraction form
    4,201.64/5,794.98 = 3,648.68/x
  3. Step 3: Cross multiply
    4,201.64x = 5,794.98 × 3,648.68
  4. Step 4: Simplify right side
    4,201.64x = 21,144,027.63
  5. Step 5: Solve for x
    x = 21,144,027.63/4,201.64
  6. Step 6: Final answer
    x = 5,032.33

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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.