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Finding the Fourth Proportional to 3,901.96, 5,852.50 and 980.27

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Solution

The fourth proportional to 3,901.96, 5,852.50 and 980.27 is: 1,470.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,901.96 : 5,852.50 = 980.27 : x
  2. Step 2: Convert to fraction form
    3,901.96/5,852.50 = 980.27/x
  3. Step 3: Cross multiply
    3,901.96x = 5,852.50 × 980.27
  4. Step 4: Simplify right side
    3,901.96x = 5,737,013.09
  5. Step 5: Solve for x
    x = 5,737,013.09/3,901.96
  6. Step 6: Final answer
    x = 1,470.29

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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.