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Finding the Fourth Proportional to 6,479.34, 8,940.79 and 3,646.66

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Solution

The fourth proportional to 6,479.34, 8,940.79 and 3,646.66 is: 5,032.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,479.34 : 8,940.79 = 3,646.66 : x
  2. Step 2: Convert to fraction form
    6,479.34/8,940.79 = 3,646.66/x
  3. Step 3: Cross multiply
    6,479.34x = 8,940.79 × 3,646.66
  4. Step 4: Simplify right side
    6,479.34x = 32,604,045.38
  5. Step 5: Solve for x
    x = 32,604,045.38/6,479.34
  6. Step 6: Final answer
    x = 5,032.00

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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.