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Finding the Fourth Proportional to 4,147.64, 5,723.73 and 2,284.64

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Solution

The fourth proportional to 4,147.64, 5,723.73 and 2,284.64 is: 3,152.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,147.64 : 5,723.73 = 2,284.64 : x
  2. Step 2: Convert to fraction form
    4,147.64/5,723.73 = 2,284.64/x
  3. Step 3: Cross multiply
    4,147.64x = 5,723.73 × 2,284.64
  4. Step 4: Simplify right side
    4,147.64x = 13,076,662.51
  5. Step 5: Solve for x
    x = 13,076,662.51/4,147.64
  6. Step 6: Final answer
    x = 3,152.80

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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.