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Finding the Fourth Proportional to 3,917.36, 5,408.16 and 2,594.24

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Solution

The fourth proportional to 3,917.36, 5,408.16 and 2,594.24 is: 3,581.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,917.36 : 5,408.16 = 2,594.24 : x
  2. Step 2: Convert to fraction form
    3,917.36/5,408.16 = 2,594.24/x
  3. Step 3: Cross multiply
    3,917.36x = 5,408.16 × 2,594.24
  4. Step 4: Simplify right side
    3,917.36x = 14,030,065.00
  5. Step 5: Solve for x
    x = 14,030,065.00/3,917.36
  6. Step 6: Final answer
    x = 3,581.51

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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.