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Finding the Fourth Proportional to 4,722.46, 7,076.80 and 4,203.50

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Solution

The fourth proportional to 4,722.46, 7,076.80 and 4,203.50 is: 6,299.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,722.46 : 7,076.80 = 4,203.50 : x
  2. Step 2: Convert to fraction form
    4,722.46/7,076.80 = 4,203.50/x
  3. Step 3: Cross multiply
    4,722.46x = 7,076.80 × 4,203.50
  4. Step 4: Simplify right side
    4,722.46x = 29,747,307.78
  5. Step 5: Solve for x
    x = 29,747,307.78/4,722.46
  6. Step 6: Final answer
    x = 6,299.12

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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.