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Finding the Fourth Proportional to 3,615.31, 5,424.86 and 1,971.55

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Solution

The fourth proportional to 3,615.31, 5,424.86 and 1,971.55 is: 2,958.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,615.31 : 5,424.86 = 1,971.55 : x
  2. Step 2: Convert to fraction form
    3,615.31/5,424.86 = 1,971.55/x
  3. Step 3: Cross multiply
    3,615.31x = 5,424.86 × 1,971.55
  4. Step 4: Simplify right side
    3,615.31x = 10,695,382.73
  5. Step 5: Solve for x
    x = 10,695,382.73/3,615.31
  6. Step 6: Final answer
    x = 2,958.36

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1.5x scale

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.