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Finding the Fourth Proportional to 4,762.80, 7,138.73 and 3,003.48

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Solution

The fourth proportional to 4,762.80, 7,138.73 and 3,003.48 is: 4,501.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762.80 : 7,138.73 = 3,003.48 : x
  2. Step 2: Convert to fraction form
    4,762.80/7,138.73 = 3,003.48/x
  3. Step 3: Cross multiply
    4,762.80x = 7,138.73 × 3,003.48
  4. Step 4: Simplify right side
    4,762.80x = 21,441,040.29
  5. Step 5: Solve for x
    x = 21,441,040.29/4,762.80
  6. Step 6: Final answer
    x = 4,501.77

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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.