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Finding the Fourth Proportional to 3,813.57, 5,262.48 and 2,134.89

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Solution

The fourth proportional to 3,813.57, 5,262.48 and 2,134.89 is: 2,946.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,813.57 : 5,262.48 = 2,134.89 : x
  2. Step 2: Convert to fraction form
    3,813.57/5,262.48 = 2,134.89/x
  3. Step 3: Cross multiply
    3,813.57x = 5,262.48 × 2,134.89
  4. Step 4: Simplify right side
    3,813.57x = 11,234,815.93
  5. Step 5: Solve for x
    x = 11,234,815.93/3,813.57
  6. Step 6: Final answer
    x = 2,946.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.