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Finding the Fourth Proportional to 5,302.15, 7,951.20 and 1,743.44

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Solution

The fourth proportional to 5,302.15, 7,951.20 and 1,743.44 is: 2,614.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,302.15 : 7,951.20 = 1,743.44 : x
  2. Step 2: Convert to fraction form
    5,302.15/7,951.20 = 1,743.44/x
  3. Step 3: Cross multiply
    5,302.15x = 7,951.20 × 1,743.44
  4. Step 4: Simplify right side
    5,302.15x = 13,862,460.01
  5. Step 5: Solve for x
    x = 13,862,460.01/5,302.15
  6. Step 6: Final answer
    x = 2,614.50

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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.