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Finding the Fourth Proportional to 3,846.49, 5,770.21 and 1,506.19

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Solution

The fourth proportional to 3,846.49, 5,770.21 and 1,506.19 is: 2,259.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.49 : 5,770.21 = 1,506.19 : x
  2. Step 2: Convert to fraction form
    3,846.49/5,770.21 = 1,506.19/x
  3. Step 3: Cross multiply
    3,846.49x = 5,770.21 × 1,506.19
  4. Step 4: Simplify right side
    3,846.49x = 8,691,032.60
  5. Step 5: Solve for x
    x = 8,691,032.60/3,846.49
  6. Step 6: Final answer
    x = 2,259.47

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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.