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Finding the Fourth Proportional to 4,894.86, 7,342.02 and 1,972.38

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Solution

The fourth proportional to 4,894.86, 7,342.02 and 1,972.38 is: 2,958.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,894.86 : 7,342.02 = 1,972.38 : x
  2. Step 2: Convert to fraction form
    4,894.86/7,342.02 = 1,972.38/x
  3. Step 3: Cross multiply
    4,894.86x = 7,342.02 × 1,972.38
  4. Step 4: Simplify right side
    4,894.86x = 14,481,253.41
  5. Step 5: Solve for x
    x = 14,481,253.41/4,894.86
  6. Step 6: Final answer
    x = 2,958.46

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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.