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Finding the Fourth Proportional to 6,479.26, 8,941.18 and 3,646.78

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Solution

The fourth proportional to 6,479.26, 8,941.18 and 3,646.78 is: 5,032.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,479.26 : 8,941.18 = 3,646.78 : x
  2. Step 2: Convert to fraction form
    6,479.26/8,941.18 = 3,646.78/x
  3. Step 3: Cross multiply
    6,479.26x = 8,941.18 × 3,646.78
  4. Step 4: Simplify right side
    6,479.26x = 32,606,516.40
  5. Step 5: Solve for x
    x = 32,606,516.40/6,479.26
  6. Step 6: Final answer
    x = 5,032.44

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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.