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Finding the Fourth Proportional to 3,967.92, 5,953.04 and 1,776.16

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Solution

The fourth proportional to 3,967.92, 5,953.04 and 1,776.16 is: 2,664.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,967.92 : 5,953.04 = 1,776.16 : x
  2. Step 2: Convert to fraction form
    3,967.92/5,953.04 = 1,776.16/x
  3. Step 3: Cross multiply
    3,967.92x = 5,953.04 × 1,776.16
  4. Step 4: Simplify right side
    3,967.92x = 10,573,512.88
  5. Step 5: Solve for x
    x = 10,573,512.88/3,967.92
  6. Step 6: Final answer
    x = 2,664.75

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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.