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Finding the Fourth Proportional to 3,532.54, 4,878 and 2,208.50

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Solution

The fourth proportional to 3,532.54, 4,878 and 2,208.50 is: 3,049.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,532.54 : 4,878 = 2,208.50 : x
  2. Step 2: Convert to fraction form
    3,532.54/4,878 = 2,208.50/x
  3. Step 3: Cross multiply
    3,532.54x = 4,878 × 2,208.50
  4. Step 4: Simplify right side
    3,532.54x = 10,773,063
  5. Step 5: Solve for x
    x = 10,773,063/3,532.54
  6. Step 6: Final answer
    x = 3,049.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.