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Finding the Fourth Proportional to 6,393.88, 8,823.46 and 3,561.18

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Solution

The fourth proportional to 6,393.88, 8,823.46 and 3,561.18 is: 4,914.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,393.88 : 8,823.46 = 3,561.18 : x
  2. Step 2: Convert to fraction form
    6,393.88/8,823.46 = 3,561.18/x
  3. Step 3: Cross multiply
    6,393.88x = 8,823.46 × 3,561.18
  4. Step 4: Simplify right side
    6,393.88x = 31,421,929.28
  5. Step 5: Solve for x
    x = 31,421,929.28/6,393.88
  6. Step 6: Final answer
    x = 4,914.38

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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.