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Finding the Fourth Proportional to 3,672.81, 5,069.25 and 2,349.81

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Solution

The fourth proportional to 3,672.81, 5,069.25 and 2,349.81 is: 3,243.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,672.81 : 5,069.25 = 2,349.81 : x
  2. Step 2: Convert to fraction form
    3,672.81/5,069.25 = 2,349.81/x
  3. Step 3: Cross multiply
    3,672.81x = 5,069.25 × 2,349.81
  4. Step 4: Simplify right side
    3,672.81x = 11,911,774.34
  5. Step 5: Solve for x
    x = 11,911,774.34/3,672.81
  6. Step 6: Final answer
    x = 3,243.23

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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.