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Finding the Fourth Proportional to 5,019.67, 7,538.04 and 4,185.88

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Solution

The fourth proportional to 5,019.67, 7,538.04 and 4,185.88 is: 6,285.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,019.67 : 7,538.04 = 4,185.88 : x
  2. Step 2: Convert to fraction form
    5,019.67/7,538.04 = 4,185.88/x
  3. Step 3: Cross multiply
    5,019.67x = 7,538.04 × 4,185.88
  4. Step 4: Simplify right side
    5,019.67x = 31,553,330.88
  5. Step 5: Solve for x
    x = 31,553,330.88/5,019.67
  6. Step 6: Final answer
    x = 6,285.94

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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.