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Finding the Fourth Proportional to 3,852.86, 5,322.39 and 3,065.90

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Solution

The fourth proportional to 3,852.86, 5,322.39 and 3,065.90 is: 4,235.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,852.86 : 5,322.39 = 3,065.90 : x
  2. Step 2: Convert to fraction form
    3,852.86/5,322.39 = 3,065.90/x
  3. Step 3: Cross multiply
    3,852.86x = 5,322.39 × 3,065.90
  4. Step 4: Simplify right side
    3,852.86x = 16,317,915.50
  5. Step 5: Solve for x
    x = 16,317,915.50/3,852.86
  6. Step 6: Final answer
    x = 4,235.27

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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.