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Finding the Fourth Proportional to 6,320.40, 8,726.82 and 4,083.60

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Solution

The fourth proportional to 6,320.40, 8,726.82 and 4,083.60 is: 5,638.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,320.40 : 8,726.82 = 4,083.60 : x
  2. Step 2: Convert to fraction form
    6,320.40/8,726.82 = 4,083.60/x
  3. Step 3: Cross multiply
    6,320.40x = 8,726.82 × 4,083.60
  4. Step 4: Simplify right side
    6,320.40x = 35,636,842.15
  5. Step 5: Solve for x
    x = 35,636,842.15/6,320.40
  6. Step 6: Final answer
    x = 5,638.38

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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.