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Finding the Fourth Proportional to 3,548.64, 5,322.56 and 951.78

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Solution

The fourth proportional to 3,548.64, 5,322.56 and 951.78 is: 1,427.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,548.64 : 5,322.56 = 951.78 : x
  2. Step 2: Convert to fraction form
    3,548.64/5,322.56 = 951.78/x
  3. Step 3: Cross multiply
    3,548.64x = 5,322.56 × 951.78
  4. Step 4: Simplify right side
    3,548.64x = 5,065,901.40
  5. Step 5: Solve for x
    x = 5,065,901.40/3,548.64
  6. Step 6: Final answer
    x = 1,427.56

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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.