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Finding the Fourth Proportional to 4,174.47, 5,760.70 and 2,286

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Solution

The fourth proportional to 4,174.47, 5,760.70 and 2,286 is: 3,154.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,174.47 : 5,760.70 = 2,286 : x
  2. Step 2: Convert to fraction form
    4,174.47/5,760.70 = 2,286/x
  3. Step 3: Cross multiply
    4,174.47x = 5,760.70 × 2,286
  4. Step 4: Simplify right side
    4,174.47x = 13,168,954.49
  5. Step 5: Solve for x
    x = 13,168,954.49/4,174.47
  6. Step 6: Final answer
    x = 3,154.64

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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.