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Finding the Fourth Proportional to 3,602.56, 5,404.80 and 1,294.72

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Solution

The fourth proportional to 3,602.56, 5,404.80 and 1,294.72 is: 1,942.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602.56 : 5,404.80 = 1,294.72 : x
  2. Step 2: Convert to fraction form
    3,602.56/5,404.80 = 1,294.72/x
  3. Step 3: Cross multiply
    3,602.56x = 5,404.80 × 1,294.72
  4. Step 4: Simplify right side
    3,602.56x = 6,997,702.66
  5. Step 5: Solve for x
    x = 6,997,702.66/3,602.56
  6. Step 6: Final answer
    x = 1,942.43

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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.