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Finding the Fourth Proportional to 3,524.86, 4,859.69 and 3,032.78

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Solution

The fourth proportional to 3,524.86, 4,859.69 and 3,032.78 is: 4,181.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,524.86 : 4,859.69 = 3,032.78 : x
  2. Step 2: Convert to fraction form
    3,524.86/4,859.69 = 3,032.78/x
  3. Step 3: Cross multiply
    3,524.86x = 4,859.69 × 3,032.78
  4. Step 4: Simplify right side
    3,524.86x = 14,738,370.64
  5. Step 5: Solve for x
    x = 14,738,370.64/3,524.86
  6. Step 6: Final answer
    x = 4,181.27

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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.