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Finding the Fourth Proportional to 4,503.50, 6,762.72 and 2,783.06

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Solution

The fourth proportional to 4,503.50, 6,762.72 and 2,783.06 is: 4,179.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,503.50 : 6,762.72 = 2,783.06 : x
  2. Step 2: Convert to fraction form
    4,503.50/6,762.72 = 2,783.06/x
  3. Step 3: Cross multiply
    4,503.50x = 6,762.72 × 2,783.06
  4. Step 4: Simplify right side
    4,503.50x = 18,821,055.52
  5. Step 5: Solve for x
    x = 18,821,055.52/4,503.50
  6. Step 6: Final answer
    x = 4,179.21

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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.