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Finding the Fourth Proportional to 4,344.48, 6,516.41 and 1,422.41

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Solution

The fourth proportional to 4,344.48, 6,516.41 and 1,422.41 is: 2,133.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,344.48 : 6,516.41 = 1,422.41 : x
  2. Step 2: Convert to fraction form
    4,344.48/6,516.41 = 1,422.41/x
  3. Step 3: Cross multiply
    4,344.48x = 6,516.41 × 1,422.41
  4. Step 4: Simplify right side
    4,344.48x = 9,268,967.05
  5. Step 5: Solve for x
    x = 9,268,967.05/4,344.48
  6. Step 6: Final answer
    x = 2,133.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.