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Finding the Fourth Proportional to 7,100.64, 9,798.96 and 3,956.64

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Solution

The fourth proportional to 7,100.64, 9,798.96 and 3,956.64 is: 5,460.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,100.64 : 9,798.96 = 3,956.64 : x
  2. Step 2: Convert to fraction form
    7,100.64/9,798.96 = 3,956.64/x
  3. Step 3: Cross multiply
    7,100.64x = 9,798.96 × 3,956.64
  4. Step 4: Simplify right side
    7,100.64x = 38,770,957.09
  5. Step 5: Solve for x
    x = 38,770,957.09/7,100.64
  6. Step 6: Final answer
    x = 5,460.21

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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.