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Finding the Fourth Proportional to 7,257.60, 10,890 and 2,874.96

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Solution

The fourth proportional to 7,257.60, 10,890 and 2,874.96 is: 4,313.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,257.60 : 10,890 = 2,874.96 : x
  2. Step 2: Convert to fraction form
    7,257.60/10,890 = 2,874.96/x
  3. Step 3: Cross multiply
    7,257.60x = 10,890 × 2,874.96
  4. Step 4: Simplify right side
    7,257.60x = 31,308,314.40
  5. Step 5: Solve for x
    x = 31,308,314.40/7,257.60
  6. Step 6: Final answer
    x = 4,313.87

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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.