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Finding the Fourth Proportional to 5,443.68, 8,153.36 and 4,202

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Solution

The fourth proportional to 5,443.68, 8,153.36 and 4,202 is: 6,293.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,443.68 : 8,153.36 = 4,202 : x
  2. Step 2: Convert to fraction form
    5,443.68/8,153.36 = 4,202/x
  3. Step 3: Cross multiply
    5,443.68x = 8,153.36 × 4,202
  4. Step 4: Simplify right side
    5,443.68x = 34,260,418.72
  5. Step 5: Solve for x
    x = 34,260,418.72/5,443.68
  6. Step 6: Final answer
    x = 6,293.61

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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.