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Finding the Fourth Proportional to 4,020.56, 6,021.06 and 2,784.50

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Solution

The fourth proportional to 4,020.56, 6,021.06 and 2,784.50 is: 4,169.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,020.56 : 6,021.06 = 2,784.50 : x
  2. Step 2: Convert to fraction form
    4,020.56/6,021.06 = 2,784.50/x
  3. Step 3: Cross multiply
    4,020.56x = 6,021.06 × 2,784.50
  4. Step 4: Simplify right side
    4,020.56x = 16,765,641.57
  5. Step 5: Solve for x
    x = 16,765,641.57/4,020.56
  6. Step 6: Final answer
    x = 4,169.98

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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.