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Finding the Fourth Proportional to 3,478.52, 5,217.60 and 881.48

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Solution

The fourth proportional to 3,478.52, 5,217.60 and 881.48 is: 1,322.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.52 : 5,217.60 = 881.48 : x
  2. Step 2: Convert to fraction form
    3,478.52/5,217.60 = 881.48/x
  3. Step 3: Cross multiply
    3,478.52x = 5,217.60 × 881.48
  4. Step 4: Simplify right side
    3,478.52x = 4,599,210.05
  5. Step 5: Solve for x
    x = 4,599,210.05/3,478.52
  6. Step 6: Final answer
    x = 1,322.17

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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.