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Finding the Fourth Proportional to 3,419.72, 5,125.54 and 1,959.88

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Solution

The fourth proportional to 3,419.72, 5,125.54 and 1,959.88 is: 2,937.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,419.72 : 5,125.54 = 1,959.88 : x
  2. Step 2: Convert to fraction form
    3,419.72/5,125.54 = 1,959.88/x
  3. Step 3: Cross multiply
    3,419.72x = 5,125.54 × 1,959.88
  4. Step 4: Simplify right side
    3,419.72x = 10,045,443.34
  5. Step 5: Solve for x
    x = 10,045,443.34/3,419.72
  6. Step 6: Final answer
    x = 2,937.50

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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.