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Finding the Fourth Proportional to 4,822.32, 7,233.46 and 1,359.56

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Solution

The fourth proportional to 4,822.32, 7,233.46 and 1,359.56 is: 2,039.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,822.32 : 7,233.46 = 1,359.56 : x
  2. Step 2: Convert to fraction form
    4,822.32/7,233.46 = 1,359.56/x
  3. Step 3: Cross multiply
    4,822.32x = 7,233.46 × 1,359.56
  4. Step 4: Simplify right side
    4,822.32x = 9,834,322.88
  5. Step 5: Solve for x
    x = 9,834,322.88/4,822.32
  6. Step 6: Final answer
    x = 2,039.33

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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.