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Finding the Fourth Proportional to 4,147.68, 5,723.46 and 2,284.68

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Solution

The fourth proportional to 4,147.68, 5,723.46 and 2,284.68 is: 3,152.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,147.68 : 5,723.46 = 2,284.68 : x
  2. Step 2: Convert to fraction form
    4,147.68/5,723.46 = 2,284.68/x
  3. Step 3: Cross multiply
    4,147.68x = 5,723.46 × 2,284.68
  4. Step 4: Simplify right side
    4,147.68x = 13,076,274.59
  5. Step 5: Solve for x
    x = 13,076,274.59/4,147.68
  6. Step 6: Final answer
    x = 3,152.67

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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.