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Finding the Fourth Proportional to 6,415.02, 8,853.38 and 3,897.38

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Solution

The fourth proportional to 6,415.02, 8,853.38 and 3,897.38 is: 5,378.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415.02 : 8,853.38 = 3,897.38 : x
  2. Step 2: Convert to fraction form
    6,415.02/8,853.38 = 3,897.38/x
  3. Step 3: Cross multiply
    6,415.02x = 8,853.38 × 3,897.38
  4. Step 4: Simplify right side
    6,415.02x = 34,504,988.79
  5. Step 5: Solve for x
    x = 34,504,988.79/6,415.02
  6. Step 6: Final answer
    x = 5,378.78

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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.