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Finding the Fourth Proportional to 6,445.42, 8,894.15 and 3,612.38

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Solution

The fourth proportional to 6,445.42, 8,894.15 and 3,612.38 is: 4,984.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,445.42 : 8,894.15 = 3,612.38 : x
  2. Step 2: Convert to fraction form
    6,445.42/8,894.15 = 3,612.38/x
  3. Step 3: Cross multiply
    6,445.42x = 8,894.15 × 3,612.38
  4. Step 4: Simplify right side
    6,445.42x = 32,129,049.58
  5. Step 5: Solve for x
    x = 32,129,049.58/6,445.42
  6. Step 6: Final answer
    x = 4,984.79

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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.