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Finding the Fourth Proportional to 3,664.62, 5,493.60 and 1,354.50

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Solution

The fourth proportional to 3,664.62, 5,493.60 and 1,354.50 is: 2,030.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,664.62 : 5,493.60 = 1,354.50 : x
  2. Step 2: Convert to fraction form
    3,664.62/5,493.60 = 1,354.50/x
  3. Step 3: Cross multiply
    3,664.62x = 5,493.60 × 1,354.50
  4. Step 4: Simplify right side
    3,664.62x = 7,441,081.20
  5. Step 5: Solve for x
    x = 7,441,081.20/3,664.62
  6. Step 6: Final answer
    x = 2,030.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.