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Finding the Fourth Proportional to 5,967.44, 8,949.11 and 3,004.74

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Solution

The fourth proportional to 5,967.44, 8,949.11 and 3,004.74 is: 4,506.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,967.44 : 8,949.11 = 3,004.74 : x
  2. Step 2: Convert to fraction form
    5,967.44/8,949.11 = 3,004.74/x
  3. Step 3: Cross multiply
    5,967.44x = 8,949.11 × 3,004.74
  4. Step 4: Simplify right side
    5,967.44x = 26,889,733.76
  5. Step 5: Solve for x
    x = 26,889,733.76/5,967.44
  6. Step 6: Final answer
    x = 4,506.08

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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.