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Finding the Fourth Proportional to 4,894.71, 7,337.23 and 3,134.71

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Solution

The fourth proportional to 4,894.71, 7,337.23 and 3,134.71 is: 4,698.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,894.71 : 7,337.23 = 3,134.71 : x
  2. Step 2: Convert to fraction form
    4,894.71/7,337.23 = 3,134.71/x
  3. Step 3: Cross multiply
    4,894.71x = 7,337.23 × 3,134.71
  4. Step 4: Simplify right side
    4,894.71x = 23,000,107.22
  5. Step 5: Solve for x
    x = 23,000,107.22/4,894.71
  6. Step 6: Final answer
    x = 4,698.98

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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.