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Finding the Fourth Proportional to 5,119.58, 7,679.34 and 1,421.78

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Solution

The fourth proportional to 5,119.58, 7,679.34 and 1,421.78 is: 2,132.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,119.58 : 7,679.34 = 1,421.78 : x
  2. Step 2: Convert to fraction form
    5,119.58/7,679.34 = 1,421.78/x
  3. Step 3: Cross multiply
    5,119.58x = 7,679.34 × 1,421.78
  4. Step 4: Simplify right side
    5,119.58x = 10,918,332.03
  5. Step 5: Solve for x
    x = 10,918,332.03/5,119.58
  6. Step 6: Final answer
    x = 2,132.66

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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.