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Finding the Fourth Proportional to 3,977.61, 5,967.11 and 1,512.65

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Solution

The fourth proportional to 3,977.61, 5,967.11 and 1,512.65 is: 2,269.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,977.61 : 5,967.11 = 1,512.65 : x
  2. Step 2: Convert to fraction form
    3,977.61/5,967.11 = 1,512.65/x
  3. Step 3: Cross multiply
    3,977.61x = 5,967.11 × 1,512.65
  4. Step 4: Simplify right side
    3,977.61x = 9,026,111.54
  5. Step 5: Solve for x
    x = 9,026,111.54/3,977.61
  6. Step 6: Final answer
    x = 2,269.23

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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.