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Finding the Fourth Proportional to 3,334.76, 4,995.64 and 2,177

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Solution

The fourth proportional to 3,334.76, 4,995.64 and 2,177 is: 3,261.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,334.76 : 4,995.64 = 2,177 : x
  2. Step 2: Convert to fraction form
    3,334.76/4,995.64 = 2,177/x
  3. Step 3: Cross multiply
    3,334.76x = 4,995.64 × 2,177
  4. Step 4: Simplify right side
    3,334.76x = 10,875,508.28
  5. Step 5: Solve for x
    x = 10,875,508.28/3,334.76
  6. Step 6: Final answer
    x = 3,261.26

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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.