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Finding the Fourth Proportional to 3,894.84, 5,837.14 and 1,585.08

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Solution

The fourth proportional to 3,894.84, 5,837.14 and 1,585.08 is: 2,375.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.84 : 5,837.14 = 1,585.08 : x
  2. Step 2: Convert to fraction form
    3,894.84/5,837.14 = 1,585.08/x
  3. Step 3: Cross multiply
    3,894.84x = 5,837.14 × 1,585.08
  4. Step 4: Simplify right side
    3,894.84x = 9,252,333.87
  5. Step 5: Solve for x
    x = 9,252,333.87/3,894.84
  6. Step 6: Final answer
    x = 2,375.54

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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.