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Finding the Fourth Proportional to 3,289.88, 4,934.82 and 3,068.42

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Solution

The fourth proportional to 3,289.88, 4,934.82 and 3,068.42 is: 4,602.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,289.88 : 4,934.82 = 3,068.42 : x
  2. Step 2: Convert to fraction form
    3,289.88/4,934.82 = 3,068.42/x
  3. Step 3: Cross multiply
    3,289.88x = 4,934.82 × 3,068.42
  4. Step 4: Simplify right side
    3,289.88x = 15,142,100.38
  5. Step 5: Solve for x
    x = 15,142,100.38/3,289.88
  6. Step 6: Final answer
    x = 4,602.63

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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.