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Finding the Fourth Proportional to 6,355.88, 8,767.48 and 3,703

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Solution

The fourth proportional to 6,355.88, 8,767.48 and 3,703 is: 5,108.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,355.88 : 8,767.48 = 3,703 : x
  2. Step 2: Convert to fraction form
    6,355.88/8,767.48 = 3,703/x
  3. Step 3: Cross multiply
    6,355.88x = 8,767.48 × 3,703
  4. Step 4: Simplify right side
    6,355.88x = 32,465,978.44
  5. Step 5: Solve for x
    x = 32,465,978.44/6,355.88
  6. Step 6: Final answer
    x = 5,108.02

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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.