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Finding the Fourth Proportional to 3,548.51, 5,322.62 and 951.38

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Solution

The fourth proportional to 3,548.51, 5,322.62 and 951.38 is: 1,427.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,548.51 : 5,322.62 = 951.38 : x
  2. Step 2: Convert to fraction form
    3,548.51/5,322.62 = 951.38/x
  3. Step 3: Cross multiply
    3,548.51x = 5,322.62 × 951.38
  4. Step 4: Simplify right side
    3,548.51x = 5,063,807.60
  5. Step 5: Solve for x
    x = 5,063,807.60/3,548.51
  6. Step 6: Final answer
    x = 1,427.03

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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.