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Finding the Fourth Proportional to 4,890.70, 7,300.27 and 4,201.80

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Solution

The fourth proportional to 4,890.70, 7,300.27 and 4,201.80 is: 6,271.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,890.70 : 7,300.27 = 4,201.80 : x
  2. Step 2: Convert to fraction form
    4,890.70/7,300.27 = 4,201.80/x
  3. Step 3: Cross multiply
    4,890.70x = 7,300.27 × 4,201.80
  4. Step 4: Simplify right side
    4,890.70x = 30,674,274.49
  5. Step 5: Solve for x
    x = 30,674,274.49/4,890.70
  6. Step 6: Final answer
    x = 6,271.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.