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Finding the Fourth Proportional to 3,427.35, 5,141.01 and 830.31

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Solution

The fourth proportional to 3,427.35, 5,141.01 and 830.31 is: 1,245.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,427.35 : 5,141.01 = 830.31 : x
  2. Step 2: Convert to fraction form
    3,427.35/5,141.01 = 830.31/x
  3. Step 3: Cross multiply
    3,427.35x = 5,141.01 × 830.31
  4. Step 4: Simplify right side
    3,427.35x = 4,268,632.01
  5. Step 5: Solve for x
    x = 4,268,632.01/3,427.35
  6. Step 6: Final answer
    x = 1,245.46

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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.