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Finding the Fourth Proportional to 4,246.80, 6,371 and 1,324.88

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Solution

The fourth proportional to 4,246.80, 6,371 and 1,324.88 is: 1,987.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,246.80 : 6,371 = 1,324.88 : x
  2. Step 2: Convert to fraction form
    4,246.80/6,371 = 1,324.88/x
  3. Step 3: Cross multiply
    4,246.80x = 6,371 × 1,324.88
  4. Step 4: Simplify right side
    4,246.80x = 8,440,810.48
  5. Step 5: Solve for x
    x = 8,440,810.48/4,246.80
  6. Step 6: Final answer
    x = 1,987.57

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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.