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Finding the Fourth Proportional to 3,417, 5,125.62 and 1,955.48

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Solution

The fourth proportional to 3,417, 5,125.62 and 1,955.48 is: 2,933.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,417 : 5,125.62 = 1,955.48 : x
  2. Step 2: Convert to fraction form
    3,417/5,125.62 = 1,955.48/x
  3. Step 3: Cross multiply
    3,417x = 5,125.62 × 1,955.48
  4. Step 4: Simplify right side
    3,417x = 10,023,047.40
  5. Step 5: Solve for x
    x = 10,023,047.40/3,417
  6. Step 6: Final answer
    x = 2,933.29

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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.