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Finding the Fourth Proportional to 4,174.29, 5,760.53 and 2,286.00

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Solution

The fourth proportional to 4,174.29, 5,760.53 and 2,286.00 is: 3,154.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,174.29 : 5,760.53 = 2,286.00 : x
  2. Step 2: Convert to fraction form
    4,174.29/5,760.53 = 2,286.00/x
  3. Step 3: Cross multiply
    4,174.29x = 5,760.53 × 2,286.00
  4. Step 4: Simplify right side
    4,174.29x = 13,168,566.49
  5. Step 5: Solve for x
    x = 13,168,566.49/4,174.29
  6. Step 6: Final answer
    x = 3,154.68

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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.