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Finding the Fourth Proportional to 3,249.54, 4,868.10 and 1,858.64

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Solution

The fourth proportional to 3,249.54, 4,868.10 and 1,858.64 is: 2,784.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,249.54 : 4,868.10 = 1,858.64 : x
  2. Step 2: Convert to fraction form
    3,249.54/4,868.10 = 1,858.64/x
  3. Step 3: Cross multiply
    3,249.54x = 4,868.10 × 1,858.64
  4. Step 4: Simplify right side
    3,249.54x = 9,048,021.04
  5. Step 5: Solve for x
    x = 9,048,021.04/3,249.54
  6. Step 6: Final answer
    x = 2,784.40

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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.