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Finding the Fourth Proportional to 4,945.68, 7,411.68 and 2,481.12

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Solution

The fourth proportional to 4,945.68, 7,411.68 and 2,481.12 is: 3,718.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,945.68 : 7,411.68 = 2,481.12 : x
  2. Step 2: Convert to fraction form
    4,945.68/7,411.68 = 2,481.12/x
  3. Step 3: Cross multiply
    4,945.68x = 7,411.68 × 2,481.12
  4. Step 4: Simplify right side
    4,945.68x = 18,389,267.48
  5. Step 5: Solve for x
    x = 18,389,267.48/4,945.68
  6. Step 6: Final answer
    x = 3,718.25

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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.