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Finding the Fourth Proportional to 3,613.54, 5,421.14 and 1,533.62

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Solution

The fourth proportional to 3,613.54, 5,421.14 and 1,533.62 is: 2,300.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,613.54 : 5,421.14 = 1,533.62 : x
  2. Step 2: Convert to fraction form
    3,613.54/5,421.14 = 1,533.62/x
  3. Step 3: Cross multiply
    3,613.54x = 5,421.14 × 1,533.62
  4. Step 4: Simplify right side
    3,613.54x = 8,313,961.06
  5. Step 5: Solve for x
    x = 8,313,961.06/3,613.54
  6. Step 6: Final answer
    x = 2,300.78

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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.