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Finding the Fourth Proportional to 5,436, 7,501.68 and 3,228

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Solution

The fourth proportional to 5,436, 7,501.68 and 3,228 is: 4,454.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,436 : 7,501.68 = 3,228 : x
  2. Step 2: Convert to fraction form
    5,436/7,501.68 = 3,228/x
  3. Step 3: Cross multiply
    5,436x = 7,501.68 × 3,228
  4. Step 4: Simplify right side
    5,436x = 24,215,423.04
  5. Step 5: Solve for x
    x = 24,215,423.04/5,436
  6. Step 6: Final answer
    x = 4,454.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.