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Finding the Fourth Proportional to 4,918.55, 7,371.86 and 2,282.48

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Solution

The fourth proportional to 4,918.55, 7,371.86 and 2,282.48 is: 3,420.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,918.55 : 7,371.86 = 2,282.48 : x
  2. Step 2: Convert to fraction form
    4,918.55/7,371.86 = 2,282.48/x
  3. Step 3: Cross multiply
    4,918.55x = 7,371.86 × 2,282.48
  4. Step 4: Simplify right side
    4,918.55x = 16,826,074.74
  5. Step 5: Solve for x
    x = 16,826,074.74/4,918.55
  6. Step 6: Final answer
    x = 3,420.94

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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.