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Finding the Fourth Proportional to 3,815.40, 5,723.10 and 2,951.40

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Solution

The fourth proportional to 3,815.40, 5,723.10 and 2,951.40 is: 4,427.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,815.40 : 5,723.10 = 2,951.40 : x
  2. Step 2: Convert to fraction form
    3,815.40/5,723.10 = 2,951.40/x
  3. Step 3: Cross multiply
    3,815.40x = 5,723.10 × 2,951.40
  4. Step 4: Simplify right side
    3,815.40x = 16,891,157.34
  5. Step 5: Solve for x
    x = 16,891,157.34/3,815.40
  6. Step 6: Final answer
    x = 4,427.10

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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.