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Finding the Fourth Proportional to 3,522.60, 5,284.86 and 1,183

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Solution

The fourth proportional to 3,522.60, 5,284.86 and 1,183 is: 1,774.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,522.60 : 5,284.86 = 1,183 : x
  2. Step 2: Convert to fraction form
    3,522.60/5,284.86 = 1,183/x
  3. Step 3: Cross multiply
    3,522.60x = 5,284.86 × 1,183
  4. Step 4: Simplify right side
    3,522.60x = 6,251,989.38
  5. Step 5: Solve for x
    x = 6,251,989.38/3,522.60
  6. Step 6: Final answer
    x = 1,774.82

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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.