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Finding the Fourth Proportional to 5,672.37, 7,827.73 and 3,154.49

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Solution

The fourth proportional to 5,672.37, 7,827.73 and 3,154.49 is: 4,353.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,672.37 : 7,827.73 = 3,154.49 : x
  2. Step 2: Convert to fraction form
    5,672.37/7,827.73 = 3,154.49/x
  3. Step 3: Cross multiply
    5,672.37x = 7,827.73 × 3,154.49
  4. Step 4: Simplify right side
    5,672.37x = 24,692,496.01
  5. Step 5: Solve for x
    x = 24,692,496.01/5,672.37
  6. Step 6: Final answer
    x = 4,353.12

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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.