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Finding the Fourth Proportional to 3,693.69, 5,540.38 and 1,502.34

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Solution

The fourth proportional to 3,693.69, 5,540.38 and 1,502.34 is: 2,253.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,693.69 : 5,540.38 = 1,502.34 : x
  2. Step 2: Convert to fraction form
    3,693.69/5,540.38 = 1,502.34/x
  3. Step 3: Cross multiply
    3,693.69x = 5,540.38 × 1,502.34
  4. Step 4: Simplify right side
    3,693.69x = 8,323,534.49
  5. Step 5: Solve for x
    x = 8,323,534.49/3,693.69
  6. Step 6: Final answer
    x = 2,253.45

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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.