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Finding the Fourth Proportional to 3,668.76, 5,502.75 and 1,036.20

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Solution

The fourth proportional to 3,668.76, 5,502.75 and 1,036.20 is: 1,554.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,668.76 : 5,502.75 = 1,036.20 : x
  2. Step 2: Convert to fraction form
    3,668.76/5,502.75 = 1,036.20/x
  3. Step 3: Cross multiply
    3,668.76x = 5,502.75 × 1,036.20
  4. Step 4: Simplify right side
    3,668.76x = 5,701,949.55
  5. Step 5: Solve for x
    x = 5,701,949.55/3,668.76
  6. Step 6: Final answer
    x = 1,554.19

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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.