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Finding the Fourth Proportional to 3,885.08, 5,827.99 and 1,544.56

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Solution

The fourth proportional to 3,885.08, 5,827.99 and 1,544.56 is: 2,316.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,885.08 : 5,827.99 = 1,544.56 : x
  2. Step 2: Convert to fraction form
    3,885.08/5,827.99 = 1,544.56/x
  3. Step 3: Cross multiply
    3,885.08x = 5,827.99 × 1,544.56
  4. Step 4: Simplify right side
    3,885.08x = 9,001,664.11
  5. Step 5: Solve for x
    x = 9,001,664.11/3,885.08
  6. Step 6: Final answer
    x = 2,316.99

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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.