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Finding the Fourth Proportional to 4,145.65, 5,711.27 and 2,884.54

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Solution

The fourth proportional to 4,145.65, 5,711.27 and 2,884.54 is: 3,973.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,145.65 : 5,711.27 = 2,884.54 : x
  2. Step 2: Convert to fraction form
    4,145.65/5,711.27 = 2,884.54/x
  3. Step 3: Cross multiply
    4,145.65x = 5,711.27 × 2,884.54
  4. Step 4: Simplify right side
    4,145.65x = 16,474,385.00
  5. Step 5: Solve for x
    x = 16,474,385.00/4,145.65
  6. Step 6: Final answer
    x = 3,973.89

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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.