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Finding the Fourth Proportional to 4,602.66, 6,354.09 and 3,696.54

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Solution

The fourth proportional to 4,602.66, 6,354.09 and 3,696.54 is: 5,103.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602.66 : 6,354.09 = 3,696.54 : x
  2. Step 2: Convert to fraction form
    4,602.66/6,354.09 = 3,696.54/x
  3. Step 3: Cross multiply
    4,602.66x = 6,354.09 × 3,696.54
  4. Step 4: Simplify right side
    4,602.66x = 23,488,147.85
  5. Step 5: Solve for x
    x = 23,488,147.85/4,602.66
  6. Step 6: Final answer
    x = 5,103.17

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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.