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Finding the Fourth Proportional to 3,884.49, 5,828.76 and 1,544.00

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Solution

The fourth proportional to 3,884.49, 5,828.76 and 1,544.00 is: 2,316.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,884.49 : 5,828.76 = 1,544.00 : x
  2. Step 2: Convert to fraction form
    3,884.49/5,828.76 = 1,544.00/x
  3. Step 3: Cross multiply
    3,884.49x = 5,828.76 × 1,544.00
  4. Step 4: Simplify right side
    3,884.49x = 8,999,576.30
  5. Step 5: Solve for x
    x = 8,999,576.30/3,884.49
  6. Step 6: Final answer
    x = 2,316.80

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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.