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Finding the Fourth Proportional to 6,336.42, 8,746.11 and 3,685.02

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Solution

The fourth proportional to 6,336.42, 8,746.11 and 3,685.02 is: 5,086.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,336.42 : 8,746.11 = 3,685.02 : x
  2. Step 2: Convert to fraction form
    6,336.42/8,746.11 = 3,685.02/x
  3. Step 3: Cross multiply
    6,336.42x = 8,746.11 × 3,685.02
  4. Step 4: Simplify right side
    6,336.42x = 32,229,590.27
  5. Step 5: Solve for x
    x = 32,229,590.27/6,336.42
  6. Step 6: Final answer
    x = 5,086.40

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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.