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Finding the Fourth Proportional to 5,308.20, 7,961.42 and 1,412.84

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Solution

The fourth proportional to 5,308.20, 7,961.42 and 1,412.84 is: 2,119.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,308.20 : 7,961.42 = 1,412.84 : x
  2. Step 2: Convert to fraction form
    5,308.20/7,961.42 = 1,412.84/x
  3. Step 3: Cross multiply
    5,308.20x = 7,961.42 × 1,412.84
  4. Step 4: Simplify right side
    5,308.20x = 11,248,212.63
  5. Step 5: Solve for x
    x = 11,248,212.63/5,308.20
  6. Step 6: Final answer
    x = 2,119.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.