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Finding the Fourth Proportional to 3,815.94, 5,266.35 and 2,324.22

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Solution

The fourth proportional to 3,815.94, 5,266.35 and 2,324.22 is: 3,207.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,815.94 : 5,266.35 = 2,324.22 : x
  2. Step 2: Convert to fraction form
    3,815.94/5,266.35 = 2,324.22/x
  3. Step 3: Cross multiply
    3,815.94x = 5,266.35 × 2,324.22
  4. Step 4: Simplify right side
    3,815.94x = 12,240,156.00
  5. Step 5: Solve for x
    x = 12,240,156.00/3,815.94
  6. Step 6: Final answer
    x = 3,207.64

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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.