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Finding the Fourth Proportional to 3,739.02, 5,609.42 and 1,141.94

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Solution

The fourth proportional to 3,739.02, 5,609.42 and 1,141.94 is: 1,713.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,739.02 : 5,609.42 = 1,141.94 : x
  2. Step 2: Convert to fraction form
    3,739.02/5,609.42 = 1,141.94/x
  3. Step 3: Cross multiply
    3,739.02x = 5,609.42 × 1,141.94
  4. Step 4: Simplify right side
    3,739.02x = 6,405,621.07
  5. Step 5: Solve for x
    x = 6,405,621.07/3,739.02
  6. Step 6: Final answer
    x = 1,713.18

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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.