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Finding the Fourth Proportional to 3,894.12, 5,837.94 and 1,584

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Solution

The fourth proportional to 3,894.12, 5,837.94 and 1,584 is: 2,374.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.12 : 5,837.94 = 1,584 : x
  2. Step 2: Convert to fraction form
    3,894.12/5,837.94 = 1,584/x
  3. Step 3: Cross multiply
    3,894.12x = 5,837.94 × 1,584
  4. Step 4: Simplify right side
    3,894.12x = 9,247,296.96
  5. Step 5: Solve for x
    x = 9,247,296.96/3,894.12
  6. Step 6: Final answer
    x = 2,374.68

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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.