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Finding the Fourth Proportional to 5,300.74, 7,955.21 and 3,668.69

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Solution

The fourth proportional to 5,300.74, 7,955.21 and 3,668.69 is: 5,505.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,300.74 : 7,955.21 = 3,668.69 : x
  2. Step 2: Convert to fraction form
    5,300.74/7,955.21 = 3,668.69/x
  3. Step 3: Cross multiply
    5,300.74x = 7,955.21 × 3,668.69
  4. Step 4: Simplify right side
    5,300.74x = 29,185,228.43
  5. Step 5: Solve for x
    x = 29,185,228.43/5,300.74
  6. Step 6: Final answer
    x = 5,505.88

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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.