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Finding the Fourth Proportional to 4,264.28, 6,397.41 and 1,342.88

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Solution

The fourth proportional to 4,264.28, 6,397.41 and 1,342.88 is: 2,014.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,264.28 : 6,397.41 = 1,342.88 : x
  2. Step 2: Convert to fraction form
    4,264.28/6,397.41 = 1,342.88/x
  3. Step 3: Cross multiply
    4,264.28x = 6,397.41 × 1,342.88
  4. Step 4: Simplify right side
    4,264.28x = 8,590,953.94
  5. Step 5: Solve for x
    x = 8,590,953.94/4,264.28
  6. Step 6: Final answer
    x = 2,014.63

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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.