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Finding the Fourth Proportional to 3,419.59, 5,129.38 and 822.53

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Solution

The fourth proportional to 3,419.59, 5,129.38 and 822.53 is: 1,233.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,419.59 : 5,129.38 = 822.53 : x
  2. Step 2: Convert to fraction form
    3,419.59/5,129.38 = 822.53/x
  3. Step 3: Cross multiply
    3,419.59x = 5,129.38 × 822.53
  4. Step 4: Simplify right side
    3,419.59x = 4,219,043.28
  5. Step 5: Solve for x
    x = 4,219,043.28/3,419.59
  6. Step 6: Final answer
    x = 1,233.79

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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.