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Finding the Fourth Proportional to 5,419.30, 8,119.23 and 5,127.70

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Solution

The fourth proportional to 5,419.30, 8,119.23 and 5,127.70 is: 7,682.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,419.30 : 8,119.23 = 5,127.70 : x
  2. Step 2: Convert to fraction form
    5,419.30/8,119.23 = 5,127.70/x
  3. Step 3: Cross multiply
    5,419.30x = 8,119.23 × 5,127.70
  4. Step 4: Simplify right side
    5,419.30x = 41,632,975.67
  5. Step 5: Solve for x
    x = 41,632,975.67/5,419.30
  6. Step 6: Final answer
    x = 7,682.35

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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.