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Finding the Fourth Proportional to 5,245.78, 7,867.50 and 1,548.26

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Solution

The fourth proportional to 5,245.78, 7,867.50 and 1,548.26 is: 2,322.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,245.78 : 7,867.50 = 1,548.26 : x
  2. Step 2: Convert to fraction form
    5,245.78/7,867.50 = 1,548.26/x
  3. Step 3: Cross multiply
    5,245.78x = 7,867.50 × 1,548.26
  4. Step 4: Simplify right side
    5,245.78x = 12,180,935.55
  5. Step 5: Solve for x
    x = 12,180,935.55/5,245.78
  6. Step 6: Final answer
    x = 2,322.04

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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.