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Finding the Fourth Proportional to 5,285.42, 7,929.73 and 1,999.52

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Solution

The fourth proportional to 5,285.42, 7,929.73 and 1,999.52 is: 2,999.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,285.42 : 7,929.73 = 1,999.52 : x
  2. Step 2: Convert to fraction form
    5,285.42/7,929.73 = 1,999.52/x
  3. Step 3: Cross multiply
    5,285.42x = 7,929.73 × 1,999.52
  4. Step 4: Simplify right side
    5,285.42x = 15,855,653.73
  5. Step 5: Solve for x
    x = 15,855,653.73/5,285.42
  6. Step 6: Final answer
    x = 2,999.89

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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.