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Finding the Fourth Proportional to 4,897.45, 6,732.49 and 4,213.59

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Solution

The fourth proportional to 4,897.45, 6,732.49 and 4,213.59 is: 5,792.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,897.45 : 6,732.49 = 4,213.59 : x
  2. Step 2: Convert to fraction form
    4,897.45/6,732.49 = 4,213.59/x
  3. Step 3: Cross multiply
    4,897.45x = 6,732.49 × 4,213.59
  4. Step 4: Simplify right side
    4,897.45x = 28,367,916.76
  5. Step 5: Solve for x
    x = 28,367,916.76/4,897.45
  6. Step 6: Final answer
    x = 5,792.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.