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Finding the Fourth Proportional to 3,420.79, 5,131.18 and 823.73

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Solution

The fourth proportional to 3,420.79, 5,131.18 and 823.73 is: 1,235.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,420.79 : 5,131.18 = 823.73 : x
  2. Step 2: Convert to fraction form
    3,420.79/5,131.18 = 823.73/x
  3. Step 3: Cross multiply
    3,420.79x = 5,131.18 × 823.73
  4. Step 4: Simplify right side
    3,420.79x = 4,226,681.25
  5. Step 5: Solve for x
    x = 4,226,681.25/3,420.79
  6. Step 6: Final answer
    x = 1,235.59

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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.