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Finding the Fourth Proportional to 5,246.40, 7,241.52 and 3,674.88

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Solution

The fourth proportional to 5,246.40, 7,241.52 and 3,674.88 is: 5,072.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,246.40 : 7,241.52 = 3,674.88 : x
  2. Step 2: Convert to fraction form
    5,246.40/7,241.52 = 3,674.88/x
  3. Step 3: Cross multiply
    5,246.40x = 7,241.52 × 3,674.88
  4. Step 4: Simplify right side
    5,246.40x = 26,611,717.02
  5. Step 5: Solve for x
    x = 26,611,717.02/5,246.40
  6. Step 6: Final answer
    x = 5,072.38

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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.