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Finding the Fourth Proportional to 6,358.88, 8,771.62 and 3,706

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Solution

The fourth proportional to 6,358.88, 8,771.62 and 3,706 is: 5,112.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,358.88 : 8,771.62 = 3,706 : x
  2. Step 2: Convert to fraction form
    6,358.88/8,771.62 = 3,706/x
  3. Step 3: Cross multiply
    6,358.88x = 8,771.62 × 3,706
  4. Step 4: Simplify right side
    6,358.88x = 32,507,623.72
  5. Step 5: Solve for x
    x = 32,507,623.72/6,358.88
  6. Step 6: Final answer
    x = 5,112.16

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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.