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Finding the Fourth Proportional to 3,599.60, 4,965.28 and 2,272.80

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Solution

The fourth proportional to 3,599.60, 4,965.28 and 2,272.80 is: 3,135.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,599.60 : 4,965.28 = 2,272.80 : x
  2. Step 2: Convert to fraction form
    3,599.60/4,965.28 = 2,272.80/x
  3. Step 3: Cross multiply
    3,599.60x = 4,965.28 × 2,272.80
  4. Step 4: Simplify right side
    3,599.60x = 11,285,088.38
  5. Step 5: Solve for x
    x = 11,285,088.38/3,599.60
  6. Step 6: Final answer
    x = 3,135.10

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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.