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Finding the Fourth Proportional to 3,419.72, 4,720.02 and 2,177

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Solution

The fourth proportional to 3,419.72, 4,720.02 and 2,177 is: 3,004.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,419.72 : 4,720.02 = 2,177 : x
  2. Step 2: Convert to fraction form
    3,419.72/4,720.02 = 2,177/x
  3. Step 3: Cross multiply
    3,419.72x = 4,720.02 × 2,177
  4. Step 4: Simplify right side
    3,419.72x = 10,275,483.54
  5. Step 5: Solve for x
    x = 10,275,483.54/3,419.72
  6. Step 6: Final answer
    x = 3,004.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.