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Finding the Fourth Proportional to 4,174.69, 5,760.82 and 2,285.93

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Solution

The fourth proportional to 4,174.69, 5,760.82 and 2,285.93 is: 3,154.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,174.69 : 5,760.82 = 2,285.93 : x
  2. Step 2: Convert to fraction form
    4,174.69/5,760.82 = 2,285.93/x
  3. Step 3: Cross multiply
    4,174.69x = 5,760.82 × 2,285.93
  4. Step 4: Simplify right side
    4,174.69x = 13,168,819.83
  5. Step 5: Solve for x
    x = 13,168,819.83/4,174.69
  6. Step 6: Final answer
    x = 3,154.44

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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.