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Finding the Fourth Proportional to 5,295.41, 7,938.20 and 2,006.30

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Solution

The fourth proportional to 5,295.41, 7,938.20 and 2,006.30 is: 3,007.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,295.41 : 7,938.20 = 2,006.30 : x
  2. Step 2: Convert to fraction form
    5,295.41/7,938.20 = 2,006.30/x
  3. Step 3: Cross multiply
    5,295.41x = 7,938.20 × 2,006.30
  4. Step 4: Simplify right side
    5,295.41x = 15,926,435.52
  5. Step 5: Solve for x
    x = 15,926,435.52/5,295.41
  6. Step 6: Final answer
    x = 3,007.59

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1.5x scale

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.