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Finding the Fourth Proportional to 4,761.96, 7,143.41 and 1,641.56

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Solution

The fourth proportional to 4,761.96, 7,143.41 and 1,641.56 is: 2,462.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761.96 : 7,143.41 = 1,641.56 : x
  2. Step 2: Convert to fraction form
    4,761.96/7,143.41 = 1,641.56/x
  3. Step 3: Cross multiply
    4,761.96x = 7,143.41 × 1,641.56
  4. Step 4: Simplify right side
    4,761.96x = 11,726,307.36
  5. Step 5: Solve for x
    x = 11,726,307.36/4,761.96
  6. Step 6: Final answer
    x = 2,462.50

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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.