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Finding the Fourth Proportional to 4,295.36, 6,438.12 and 1,982

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Solution

The fourth proportional to 4,295.36, 6,438.12 and 1,982 is: 2,970.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,295.36 : 6,438.12 = 1,982 : x
  2. Step 2: Convert to fraction form
    4,295.36/6,438.12 = 1,982/x
  3. Step 3: Cross multiply
    4,295.36x = 6,438.12 × 1,982
  4. Step 4: Simplify right side
    4,295.36x = 12,760,353.84
  5. Step 5: Solve for x
    x = 12,760,353.84/4,295.36
  6. Step 6: Final answer
    x = 2,970.73

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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.