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Finding the Fourth Proportional to 4,207.64, 5,804.64 and 2,861.60

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Solution

The fourth proportional to 4,207.64, 5,804.64 and 2,861.60 is: 3,947.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,207.64 : 5,804.64 = 2,861.60 : x
  2. Step 2: Convert to fraction form
    4,207.64/5,804.64 = 2,861.60/x
  3. Step 3: Cross multiply
    4,207.64x = 5,804.64 × 2,861.60
  4. Step 4: Simplify right side
    4,207.64x = 16,610,528.80
  5. Step 5: Solve for x
    x = 16,610,528.80/4,207.64
  6. Step 6: Final answer
    x = 3,947.71

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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.