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Finding the Fourth Proportional to 3,384.36, 5,062.50 and 3,177

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Solution

The fourth proportional to 3,384.36, 5,062.50 and 3,177 is: 4,752.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,384.36 : 5,062.50 = 3,177 : x
  2. Step 2: Convert to fraction form
    3,384.36/5,062.50 = 3,177/x
  3. Step 3: Cross multiply
    3,384.36x = 5,062.50 × 3,177
  4. Step 4: Simplify right side
    3,384.36x = 16,083,562.50
  5. Step 5: Solve for x
    x = 16,083,562.50/3,384.36
  6. Step 6: Final answer
    x = 4,752.32

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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.