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Finding the Fourth Proportional to 3,890.62, 5,832.11 and 1,549.84

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Solution

The fourth proportional to 3,890.62, 5,832.11 and 1,549.84 is: 2,323.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,890.62 : 5,832.11 = 1,549.84 : x
  2. Step 2: Convert to fraction form
    3,890.62/5,832.11 = 1,549.84/x
  3. Step 3: Cross multiply
    3,890.62x = 5,832.11 × 1,549.84
  4. Step 4: Simplify right side
    3,890.62x = 9,038,837.36
  5. Step 5: Solve for x
    x = 9,038,837.36/3,890.62
  6. Step 6: Final answer
    x = 2,323.24

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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.