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Finding the Fourth Proportional to 3,438.26, 5,148.16 and 2,829.32

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Solution

The fourth proportional to 3,438.26, 5,148.16 and 2,829.32 is: 4,236.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,438.26 : 5,148.16 = 2,829.32 : x
  2. Step 2: Convert to fraction form
    3,438.26/5,148.16 = 2,829.32/x
  3. Step 3: Cross multiply
    3,438.26x = 5,148.16 × 2,829.32
  4. Step 4: Simplify right side
    3,438.26x = 14,565,792.05
  5. Step 5: Solve for x
    x = 14,565,792.05/3,438.26
  6. Step 6: Final answer
    x = 4,236.38

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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.