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Finding the Fourth Proportional to 4,937.61, 6,814.02 and 2,949.31

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Solution

The fourth proportional to 4,937.61, 6,814.02 and 2,949.31 is: 4,070.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,937.61 : 6,814.02 = 2,949.31 : x
  2. Step 2: Convert to fraction form
    4,937.61/6,814.02 = 2,949.31/x
  3. Step 3: Cross multiply
    4,937.61x = 6,814.02 × 2,949.31
  4. Step 4: Simplify right side
    4,937.61x = 20,096,676.90
  5. Step 5: Solve for x
    x = 20,096,676.90/4,937.61
  6. Step 6: Final answer
    x = 4,070.12

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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.