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Finding the Fourth Proportional to 3,668.30, 5,502.45 and 3,265.10

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Solution

The fourth proportional to 3,668.30, 5,502.45 and 3,265.10 is: 4,897.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,668.30 : 5,502.45 = 3,265.10 : x
  2. Step 2: Convert to fraction form
    3,668.30/5,502.45 = 3,265.10/x
  3. Step 3: Cross multiply
    3,668.30x = 5,502.45 × 3,265.10
  4. Step 4: Simplify right side
    3,668.30x = 17,966,049.50
  5. Step 5: Solve for x
    x = 17,966,049.50/3,668.30
  6. Step 6: Final answer
    x = 4,897.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.