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Finding the Fourth Proportional to 3,557.74, 5,336.61 and 960.69

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Solution

The fourth proportional to 3,557.74, 5,336.61 and 960.69 is: 1,441.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,557.74 : 5,336.61 = 960.69 : x
  2. Step 2: Convert to fraction form
    3,557.74/5,336.61 = 960.69/x
  3. Step 3: Cross multiply
    3,557.74x = 5,336.61 × 960.69
  4. Step 4: Simplify right side
    3,557.74x = 5,126,827.86
  5. Step 5: Solve for x
    x = 5,126,827.86/3,557.74
  6. Step 6: Final answer
    x = 1,441.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.