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Finding the Fourth Proportional to 3,985.64, 5,504.18 and 3,284.45

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Solution

The fourth proportional to 3,985.64, 5,504.18 and 3,284.45 is: 4,535.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,985.64 : 5,504.18 = 3,284.45 : x
  2. Step 2: Convert to fraction form
    3,985.64/5,504.18 = 3,284.45/x
  3. Step 3: Cross multiply
    3,985.64x = 5,504.18 × 3,284.45
  4. Step 4: Simplify right side
    3,985.64x = 18,078,160.06
  5. Step 5: Solve for x
    x = 18,078,160.06/3,985.64
  6. Step 6: Final answer
    x = 4,535.83

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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.