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Finding the Fourth Proportional to 3,435.26, 5,152.88 and 1,383.26

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Solution

The fourth proportional to 3,435.26, 5,152.88 and 1,383.26 is: 2,074.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,435.26 : 5,152.88 = 1,383.26 : x
  2. Step 2: Convert to fraction form
    3,435.26/5,152.88 = 1,383.26/x
  3. Step 3: Cross multiply
    3,435.26x = 5,152.88 × 1,383.26
  4. Step 4: Simplify right side
    3,435.26x = 7,127,772.79
  5. Step 5: Solve for x
    x = 7,127,772.79/3,435.26
  6. Step 6: Final answer
    x = 2,074.89

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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.