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Finding the Fourth Proportional to 4,215.97, 6,324.08 and 1,294.28

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Solution

The fourth proportional to 4,215.97, 6,324.08 and 1,294.28 is: 1,941.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,215.97 : 6,324.08 = 1,294.28 : x
  2. Step 2: Convert to fraction form
    4,215.97/6,324.08 = 1,294.28/x
  3. Step 3: Cross multiply
    4,215.97x = 6,324.08 × 1,294.28
  4. Step 4: Simplify right side
    4,215.97x = 8,185,115.89
  5. Step 5: Solve for x
    x = 8,185,115.89/4,215.97
  6. Step 6: Final answer
    x = 1,941.45

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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.