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Finding the Fourth Proportional to 3,420.18, 5,130.27 and 823.14

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Solution

The fourth proportional to 3,420.18, 5,130.27 and 823.14 is: 1,234.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,420.18 : 5,130.27 = 823.14 : x
  2. Step 2: Convert to fraction form
    3,420.18/5,130.27 = 823.14/x
  3. Step 3: Cross multiply
    3,420.18x = 5,130.27 × 823.14
  4. Step 4: Simplify right side
    3,420.18x = 4,222,930.45
  5. Step 5: Solve for x
    x = 4,222,930.45/3,420.18
  6. Step 6: Final answer
    x = 1,234.71

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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.