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Finding the Fourth Proportional to 3,548.54, 5,322.82 and 951.50

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Solution

The fourth proportional to 3,548.54, 5,322.82 and 951.50 is: 1,427.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,548.54 : 5,322.82 = 951.50 : x
  2. Step 2: Convert to fraction form
    3,548.54/5,322.82 = 951.50/x
  3. Step 3: Cross multiply
    3,548.54x = 5,322.82 × 951.50
  4. Step 4: Simplify right side
    3,548.54x = 5,064,663.23
  5. Step 5: Solve for x
    x = 5,064,663.23/3,548.54
  6. Step 6: Final answer
    x = 1,427.25

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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.