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Finding the Fourth Proportional to 3,884.44, 5,820.52 and 2,421.40

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Solution

The fourth proportional to 3,884.44, 5,820.52 and 2,421.40 is: 3,628.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,884.44 : 5,820.52 = 2,421.40 : x
  2. Step 2: Convert to fraction form
    3,884.44/5,820.52 = 2,421.40/x
  3. Step 3: Cross multiply
    3,884.44x = 5,820.52 × 2,421.40
  4. Step 4: Simplify right side
    3,884.44x = 14,093,807.13
  5. Step 5: Solve for x
    x = 14,093,807.13/3,884.44
  6. Step 6: Final answer
    x = 3,628.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.