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Finding the Fourth Proportional to 4,948.40, 7,406.40 and 3,846.80

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Solution

The fourth proportional to 4,948.40, 7,406.40 and 3,846.80 is: 5,757.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,948.40 : 7,406.40 = 3,846.80 : x
  2. Step 2: Convert to fraction form
    4,948.40/7,406.40 = 3,846.80/x
  3. Step 3: Cross multiply
    4,948.40x = 7,406.40 × 3,846.80
  4. Step 4: Simplify right side
    4,948.40x = 28,490,939.52
  5. Step 5: Solve for x
    x = 28,490,939.52/4,948.40
  6. Step 6: Final answer
    x = 5,757.61

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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.