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Finding the Fourth Proportional to 4,012.50, 6,018.02 and 1,820.72

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Solution

The fourth proportional to 4,012.50, 6,018.02 and 1,820.72 is: 2,730.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,012.50 : 6,018.02 = 1,820.72 : x
  2. Step 2: Convert to fraction form
    4,012.50/6,018.02 = 1,820.72/x
  3. Step 3: Cross multiply
    4,012.50x = 6,018.02 × 1,820.72
  4. Step 4: Simplify right side
    4,012.50x = 10,957,129.37
  5. Step 5: Solve for x
    x = 10,957,129.37/4,012.50
  6. Step 6: Final answer
    x = 2,730.75

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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.