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Finding the Fourth Proportional to 4,147.73, 5,723.80 and 2,284.73

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Solution

The fourth proportional to 4,147.73, 5,723.80 and 2,284.73 is: 3,152.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,147.73 : 5,723.80 = 2,284.73 : x
  2. Step 2: Convert to fraction form
    4,147.73/5,723.80 = 2,284.73/x
  3. Step 3: Cross multiply
    4,147.73x = 5,723.80 × 2,284.73
  4. Step 4: Simplify right side
    4,147.73x = 13,077,303.24
  5. Step 5: Solve for x
    x = 13,077,303.24/4,147.73
  6. Step 6: Final answer
    x = 3,152.89

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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.