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Finding the Fourth Proportional to 4,635, 6,953.52 and 2,168.48

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Solution

The fourth proportional to 4,635, 6,953.52 and 2,168.48 is: 3,253.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,635 : 6,953.52 = 2,168.48 : x
  2. Step 2: Convert to fraction form
    4,635/6,953.52 = 2,168.48/x
  3. Step 3: Cross multiply
    4,635x = 6,953.52 × 2,168.48
  4. Step 4: Simplify right side
    4,635x = 15,078,569.05
  5. Step 5: Solve for x
    x = 15,078,569.05/4,635
  6. Step 6: Final answer
    x = 3,253.20

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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.