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Finding the Fourth Proportional to 6,406.90, 8,841.96 and 3,755.16

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Solution

The fourth proportional to 6,406.90, 8,841.96 and 3,755.16 is: 5,182.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,406.90 : 8,841.96 = 3,755.16 : x
  2. Step 2: Convert to fraction form
    6,406.90/8,841.96 = 3,755.16/x
  3. Step 3: Cross multiply
    6,406.90x = 8,841.96 × 3,755.16
  4. Step 4: Simplify right side
    6,406.90x = 33,202,974.51
  5. Step 5: Solve for x
    x = 33,202,974.51/6,406.90
  6. Step 6: Final answer
    x = 5,182.38

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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.