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Finding the Fourth Proportional to 3,884.64, 5,800.22 and 3,515.28

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Solution

The fourth proportional to 3,884.64, 5,800.22 and 3,515.28 is: 5,248.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,884.64 : 5,800.22 = 3,515.28 : x
  2. Step 2: Convert to fraction form
    3,884.64/5,800.22 = 3,515.28/x
  3. Step 3: Cross multiply
    3,884.64x = 5,800.22 × 3,515.28
  4. Step 4: Simplify right side
    3,884.64x = 20,389,379.79
  5. Step 5: Solve for x
    x = 20,389,379.79/3,884.64
  6. Step 6: Final answer
    x = 5,248.72

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.