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Finding the Fourth Proportional to 4,665.44, 7,002.71 and 3,636.64

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Solution

The fourth proportional to 4,665.44, 7,002.71 and 3,636.64 is: 5,458.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,665.44 : 7,002.71 = 3,636.64 : x
  2. Step 2: Convert to fraction form
    4,665.44/7,002.71 = 3,636.64/x
  3. Step 3: Cross multiply
    4,665.44x = 7,002.71 × 3,636.64
  4. Step 4: Simplify right side
    4,665.44x = 25,466,326.88
  5. Step 5: Solve for x
    x = 25,466,326.88/4,665.44
  6. Step 6: Final answer
    x = 5,458.50

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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.