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Finding the Fourth Proportional to 5,141.76, 7,706.88 and 2,400

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Solution

The fourth proportional to 5,141.76, 7,706.88 and 2,400 is: 3,597.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,141.76 : 7,706.88 = 2,400 : x
  2. Step 2: Convert to fraction form
    5,141.76/7,706.88 = 2,400/x
  3. Step 3: Cross multiply
    5,141.76x = 7,706.88 × 2,400
  4. Step 4: Simplify right side
    5,141.76x = 18,496,512
  5. Step 5: Solve for x
    x = 18,496,512/5,141.76
  6. Step 6: Final answer
    x = 3,597.31

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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.