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Finding the Fourth Proportional to 5,307.82, 7,961.42 and 2,536.40

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Solution

The fourth proportional to 5,307.82, 7,961.42 and 2,536.40 is: 3,804.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,307.82 : 7,961.42 = 2,536.40 : x
  2. Step 2: Convert to fraction form
    5,307.82/7,961.42 = 2,536.40/x
  3. Step 3: Cross multiply
    5,307.82x = 7,961.42 × 2,536.40
  4. Step 4: Simplify right side
    5,307.82x = 20,193,371.93
  5. Step 5: Solve for x
    x = 20,193,371.93/5,307.82
  6. Step 6: Final answer
    x = 3,804.46

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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.