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Finding the Fourth Proportional to 5,019.54, 7,529.73 and 1,731.30

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Solution

The fourth proportional to 5,019.54, 7,529.73 and 1,731.30 is: 2,597.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,019.54 : 7,529.73 = 1,731.30 : x
  2. Step 2: Convert to fraction form
    5,019.54/7,529.73 = 1,731.30/x
  3. Step 3: Cross multiply
    5,019.54x = 7,529.73 × 1,731.30
  4. Step 4: Simplify right side
    5,019.54x = 13,036,221.55
  5. Step 5: Solve for x
    x = 13,036,221.55/5,019.54
  6. Step 6: Final answer
    x = 2,597.09

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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.