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Finding the Fourth Proportional to 3,967.76, 5,475.52 and 2,199.32

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Solution

The fourth proportional to 3,967.76, 5,475.52 and 2,199.32 is: 3,035.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,967.76 : 5,475.52 = 2,199.32 : x
  2. Step 2: Convert to fraction form
    3,967.76/5,475.52 = 2,199.32/x
  3. Step 3: Cross multiply
    3,967.76x = 5,475.52 × 2,199.32
  4. Step 4: Simplify right side
    3,967.76x = 12,042,420.65
  5. Step 5: Solve for x
    x = 12,042,420.65/3,967.76
  6. Step 6: Final answer
    x = 3,035.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.