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Finding the Fourth Proportional to 5,671.54, 7,824.54 and 4,182.99

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Solution

The fourth proportional to 5,671.54, 7,824.54 and 4,182.99 is: 5,770.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,671.54 : 7,824.54 = 4,182.99 : x
  2. Step 2: Convert to fraction form
    5,671.54/7,824.54 = 4,182.99/x
  3. Step 3: Cross multiply
    5,671.54x = 7,824.54 × 4,182.99
  4. Step 4: Simplify right side
    5,671.54x = 32,729,933.45
  5. Step 5: Solve for x
    x = 32,729,933.45/5,671.54
  6. Step 6: Final answer
    x = 5,770.91

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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.