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Finding the Fourth Proportional to 3,548.70, 5,322.87 and 951.66

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Solution

The fourth proportional to 3,548.70, 5,322.87 and 951.66 is: 1,427.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,548.70 : 5,322.87 = 951.66 : x
  2. Step 2: Convert to fraction form
    3,548.70/5,322.87 = 951.66/x
  3. Step 3: Cross multiply
    3,548.70x = 5,322.87 × 951.66
  4. Step 4: Simplify right side
    3,548.70x = 5,065,562.46
  5. Step 5: Solve for x
    x = 5,065,562.46/3,548.70
  6. Step 6: Final answer
    x = 1,427.44

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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.