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Finding the Fourth Proportional to 5,891.50, 8,123.07 and 4,628.62

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Solution

The fourth proportional to 5,891.50, 8,123.07 and 4,628.62 is: 6,381.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,891.50 : 8,123.07 = 4,628.62 : x
  2. Step 2: Convert to fraction form
    5,891.50/8,123.07 = 4,628.62/x
  3. Step 3: Cross multiply
    5,891.50x = 8,123.07 × 4,628.62
  4. Step 4: Simplify right side
    5,891.50x = 37,598,604.26
  5. Step 5: Solve for x
    x = 37,598,604.26/5,891.50
  6. Step 6: Final answer
    x = 6,381.84

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1.5x scale

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.