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Finding the Fourth Proportional to 6,407.21, 8,843.37 and 4,048.90

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Solution

The fourth proportional to 6,407.21, 8,843.37 and 4,048.90 is: 5,588.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,407.21 : 8,843.37 = 4,048.90 : x
  2. Step 2: Convert to fraction form
    6,407.21/8,843.37 = 4,048.90/x
  3. Step 3: Cross multiply
    6,407.21x = 8,843.37 × 4,048.90
  4. Step 4: Simplify right side
    6,407.21x = 35,805,920.79
  5. Step 5: Solve for x
    x = 35,805,920.79/6,407.21
  6. Step 6: Final answer
    x = 5,588.38

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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.