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Finding the Fourth Proportional to 4,019.56, 6,019.56 and 2,783.50

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Solution

The fourth proportional to 4,019.56, 6,019.56 and 2,783.50 is: 4,168.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,019.56 : 6,019.56 = 2,783.50 : x
  2. Step 2: Convert to fraction form
    4,019.56/6,019.56 = 2,783.50/x
  3. Step 3: Cross multiply
    4,019.56x = 6,019.56 × 2,783.50
  4. Step 4: Simplify right side
    4,019.56x = 16,755,445.26
  5. Step 5: Solve for x
    x = 16,755,445.26/4,019.56
  6. Step 6: Final answer
    x = 4,168.48

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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.