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Finding the Fourth Proportional to 4,739.14, 7,090.89 and 3,281.14

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Solution

The fourth proportional to 4,739.14, 7,090.89 and 3,281.14 is: 4,909.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,739.14 : 7,090.89 = 3,281.14 : x
  2. Step 2: Convert to fraction form
    4,739.14/7,090.89 = 3,281.14/x
  3. Step 3: Cross multiply
    4,739.14x = 7,090.89 × 3,281.14
  4. Step 4: Simplify right side
    4,739.14x = 23,266,202.81
  5. Step 5: Solve for x
    x = 23,266,202.81/4,739.14
  6. Step 6: Final answer
    x = 4,909.37

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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.