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Finding the Fourth Proportional to 5,827.64, 8,043.90 and 3,965.72

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Solution

The fourth proportional to 5,827.64, 8,043.90 and 3,965.72 is: 5,473.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,827.64 : 8,043.90 = 3,965.72 : x
  2. Step 2: Convert to fraction form
    5,827.64/8,043.90 = 3,965.72/x
  3. Step 3: Cross multiply
    5,827.64x = 8,043.90 × 3,965.72
  4. Step 4: Simplify right side
    5,827.64x = 31,899,855.11
  5. Step 5: Solve for x
    x = 31,899,855.11/5,827.64
  6. Step 6: Final answer
    x = 5,473.89

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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.