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Finding the Fourth Proportional to 3,892.64, 5,838.32 and 1,156

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Solution

The fourth proportional to 3,892.64, 5,838.32 and 1,156 is: 1,733.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,892.64 : 5,838.32 = 1,156 : x
  2. Step 2: Convert to fraction form
    3,892.64/5,838.32 = 1,156/x
  3. Step 3: Cross multiply
    3,892.64x = 5,838.32 × 1,156
  4. Step 4: Simplify right side
    3,892.64x = 6,749,097.92
  5. Step 5: Solve for x
    x = 6,749,097.92/3,892.64
  6. Step 6: Final answer
    x = 1,733.81

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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.