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Finding the Fourth Proportional to 5,943.71, 8,209.05 and 4,051.99

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Solution

The fourth proportional to 5,943.71, 8,209.05 and 4,051.99 is: 5,596.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,943.71 : 8,209.05 = 4,051.99 : x
  2. Step 2: Convert to fraction form
    5,943.71/8,209.05 = 4,051.99/x
  3. Step 3: Cross multiply
    5,943.71x = 8,209.05 × 4,051.99
  4. Step 4: Simplify right side
    5,943.71x = 33,262,983.58
  5. Step 5: Solve for x
    x = 33,262,983.58/5,943.71
  6. Step 6: Final answer
    x = 5,596.33

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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.