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Finding the Fourth Proportional to 6,435.38, 8,885.86 and 4,940.94

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Solution

The fourth proportional to 6,435.38, 8,885.86 and 4,940.94 is: 6,822.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,435.38 : 8,885.86 = 4,940.94 : x
  2. Step 2: Convert to fraction form
    6,435.38/8,885.86 = 4,940.94/x
  3. Step 3: Cross multiply
    6,435.38x = 8,885.86 × 4,940.94
  4. Step 4: Simplify right side
    6,435.38x = 43,904,501.11
  5. Step 5: Solve for x
    x = 43,904,501.11/6,435.38
  6. Step 6: Final answer
    x = 6,822.36

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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.