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Finding the Fourth Proportional to 4,701.70, 7,033.11 and 4,274.02

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Solution

The fourth proportional to 4,701.70, 7,033.11 and 4,274.02 is: 6,393.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,701.70 : 7,033.11 = 4,274.02 : x
  2. Step 2: Convert to fraction form
    4,701.70/7,033.11 = 4,274.02/x
  3. Step 3: Cross multiply
    4,701.70x = 7,033.11 × 4,274.02
  4. Step 4: Simplify right side
    4,701.70x = 30,059,652.80
  5. Step 5: Solve for x
    x = 30,059,652.80/4,701.70
  6. Step 6: Final answer
    x = 6,393.36

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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.