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Finding the Fourth Proportional to 3,533.67, 4,865.36 and 3,001.43

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Solution

The fourth proportional to 3,533.67, 4,865.36 and 3,001.43 is: 4,132.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,533.67 : 4,865.36 = 3,001.43 : x
  2. Step 2: Convert to fraction form
    3,533.67/4,865.36 = 3,001.43/x
  3. Step 3: Cross multiply
    3,533.67x = 4,865.36 × 3,001.43
  4. Step 4: Simplify right side
    3,533.67x = 14,603,034.62
  5. Step 5: Solve for x
    x = 14,603,034.62/3,533.67
  6. Step 6: Final answer
    x = 4,132.54

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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.