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Finding the Fourth Proportional to 3,671.85, 5,063.43 and 3,142.49

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Solution

The fourth proportional to 3,671.85, 5,063.43 and 3,142.49 is: 4,333.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,671.85 : 5,063.43 = 3,142.49 : x
  2. Step 2: Convert to fraction form
    3,671.85/5,063.43 = 3,142.49/x
  3. Step 3: Cross multiply
    3,671.85x = 5,063.43 × 3,142.49
  4. Step 4: Simplify right side
    3,671.85x = 15,911,760.03
  5. Step 5: Solve for x
    x = 15,911,760.03/3,671.85
  6. Step 6: Final answer
    x = 4,333.45

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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.