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Finding the Fourth Proportional to 6,120.32, 8,445.90 and 3,431.36

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Solution

The fourth proportional to 6,120.32, 8,445.90 and 3,431.36 is: 4,735.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,120.32 : 8,445.90 = 3,431.36 : x
  2. Step 2: Convert to fraction form
    6,120.32/8,445.90 = 3,431.36/x
  3. Step 3: Cross multiply
    6,120.32x = 8,445.90 × 3,431.36
  4. Step 4: Simplify right side
    6,120.32x = 28,980,923.42
  5. Step 5: Solve for x
    x = 28,980,923.42/6,120.32
  6. Step 6: Final answer
    x = 4,735.20

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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.