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Finding the Fourth Proportional to 6,392.25, 8,821.67 and 3,597.93

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Solution

The fourth proportional to 6,392.25, 8,821.67 and 3,597.93 is: 4,965.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,392.25 : 8,821.67 = 3,597.93 : x
  2. Step 2: Convert to fraction form
    6,392.25/8,821.67 = 3,597.93/x
  3. Step 3: Cross multiply
    6,392.25x = 8,821.67 × 3,597.93
  4. Step 4: Simplify right side
    6,392.25x = 31,739,733.15
  5. Step 5: Solve for x
    x = 31,739,733.15/6,392.25
  6. Step 6: Final answer
    x = 4,965.35

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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.