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Finding the Fourth Proportional to 5,281.34, 7,924.31 and 2,509.97

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Solution

The fourth proportional to 5,281.34, 7,924.31 and 2,509.97 is: 3,766.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,281.34 : 7,924.31 = 2,509.97 : x
  2. Step 2: Convert to fraction form
    5,281.34/7,924.31 = 2,509.97/x
  3. Step 3: Cross multiply
    5,281.34x = 7,924.31 × 2,509.97
  4. Step 4: Simplify right side
    5,281.34x = 19,889,780.37
  5. Step 5: Solve for x
    x = 19,889,780.37/5,281.34
  6. Step 6: Final answer
    x = 3,766.05

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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.