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Finding the Fourth Proportional to 4,007.54, 6,007.26 and 2,272.52

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Solution

The fourth proportional to 4,007.54, 6,007.26 and 2,272.52 is: 3,406.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,007.54 : 6,007.26 = 2,272.52 : x
  2. Step 2: Convert to fraction form
    4,007.54/6,007.26 = 2,272.52/x
  3. Step 3: Cross multiply
    4,007.54x = 6,007.26 × 2,272.52
  4. Step 4: Simplify right side
    4,007.54x = 13,651,618.50
  5. Step 5: Solve for x
    x = 13,651,618.50/4,007.54
  6. Step 6: Final answer
    x = 3,406.48

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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.