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Finding the Fourth Proportional to 4,735.56, 6,538.36 and 3,168.20

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Solution

The fourth proportional to 4,735.56, 6,538.36 and 3,168.20 is: 4,374.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,735.56 : 6,538.36 = 3,168.20 : x
  2. Step 2: Convert to fraction form
    4,735.56/6,538.36 = 3,168.20/x
  3. Step 3: Cross multiply
    4,735.56x = 6,538.36 × 3,168.20
  4. Step 4: Simplify right side
    4,735.56x = 20,714,832.15
  5. Step 5: Solve for x
    x = 20,714,832.15/4,735.56
  6. Step 6: Final answer
    x = 4,374.32

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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.