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Finding the Fourth Proportional to 3,557.60, 5,336.38 and 960.53

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Solution

The fourth proportional to 3,557.60, 5,336.38 and 960.53 is: 1,440.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,557.60 : 5,336.38 = 960.53 : x
  2. Step 2: Convert to fraction form
    3,557.60/5,336.38 = 960.53/x
  3. Step 3: Cross multiply
    3,557.60x = 5,336.38 × 960.53
  4. Step 4: Simplify right side
    3,557.60x = 5,125,767.62
  5. Step 5: Solve for x
    x = 5,125,767.62/3,557.60
  6. Step 6: Final answer
    x = 1,440.80

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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.