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Finding the Fourth Proportional to 3,894.48, 5,838.48 and 3,032.64

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Solution

The fourth proportional to 3,894.48, 5,838.48 and 3,032.64 is: 4,546.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.48 : 5,838.48 = 3,032.64 : x
  2. Step 2: Convert to fraction form
    3,894.48/5,838.48 = 3,032.64/x
  3. Step 3: Cross multiply
    3,894.48x = 5,838.48 × 3,032.64
  4. Step 4: Simplify right side
    3,894.48x = 17,706,007.99
  5. Step 5: Solve for x
    x = 17,706,007.99/3,894.48
  6. Step 6: Final answer
    x = 4,546.44

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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.