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Finding the Fourth Proportional to 5,967.72, 8,954.10 and 3,004.61

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Solution

The fourth proportional to 5,967.72, 8,954.10 and 3,004.61 is: 4,508.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,967.72 : 8,954.10 = 3,004.61 : x
  2. Step 2: Convert to fraction form
    5,967.72/8,954.10 = 3,004.61/x
  3. Step 3: Cross multiply
    5,967.72x = 8,954.10 × 3,004.61
  4. Step 4: Simplify right side
    5,967.72x = 26,903,533.63
  5. Step 5: Solve for x
    x = 26,903,533.63/5,967.72
  6. Step 6: Final answer
    x = 4,508.18

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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.