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Finding the Fourth Proportional to 6,445.86, 8,894.52 and 3,613.38

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Solution

The fourth proportional to 6,445.86, 8,894.52 and 3,613.38 is: 4,986.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,445.86 : 8,894.52 = 3,613.38 : x
  2. Step 2: Convert to fraction form
    6,445.86/8,894.52 = 3,613.38/x
  3. Step 3: Cross multiply
    6,445.86x = 8,894.52 × 3,613.38
  4. Step 4: Simplify right side
    6,445.86x = 32,139,280.68
  5. Step 5: Solve for x
    x = 32,139,280.68/6,445.86
  6. Step 6: Final answer
    x = 4,986.03

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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.