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Finding the Fourth Proportional to 4,005.76, 6,000.48 and 3,268

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Solution

The fourth proportional to 4,005.76, 6,000.48 and 3,268 is: 4,895.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,005.76 : 6,000.48 = 3,268 : x
  2. Step 2: Convert to fraction form
    4,005.76/6,000.48 = 3,268/x
  3. Step 3: Cross multiply
    4,005.76x = 6,000.48 × 3,268
  4. Step 4: Simplify right side
    4,005.76x = 19,609,568.64
  5. Step 5: Solve for x
    x = 19,609,568.64/4,005.76
  6. Step 6: Final answer
    x = 4,895.34

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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.