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Finding the Fourth Proportional to 5,153.99, 7,729.83 and 1,456.56

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Solution

The fourth proportional to 5,153.99, 7,729.83 and 1,456.56 is: 2,184.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,153.99 : 7,729.83 = 1,456.56 : x
  2. Step 2: Convert to fraction form
    5,153.99/7,729.83 = 1,456.56/x
  3. Step 3: Cross multiply
    5,153.99x = 7,729.83 × 1,456.56
  4. Step 4: Simplify right side
    5,153.99x = 11,258,961.18
  5. Step 5: Solve for x
    x = 11,258,961.18/5,153.99
  6. Step 6: Final answer
    x = 2,184.52

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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.