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Finding the Fourth Proportional to 5,257.14, 7,890.15 and 2,485.80

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Solution

The fourth proportional to 5,257.14, 7,890.15 and 2,485.80 is: 3,730.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,257.14 : 7,890.15 = 2,485.80 : x
  2. Step 2: Convert to fraction form
    5,257.14/7,890.15 = 2,485.80/x
  3. Step 3: Cross multiply
    5,257.14x = 7,890.15 × 2,485.80
  4. Step 4: Simplify right side
    5,257.14x = 19,613,334.87
  5. Step 5: Solve for x
    x = 19,613,334.87/5,257.14
  6. Step 6: Final answer
    x = 3,730.80

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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.