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Finding the Fourth Proportional to 4,144.86, 6,218.64 and 1,548

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Solution

The fourth proportional to 4,144.86, 6,218.64 and 1,548 is: 2,322.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,144.86 : 6,218.64 = 1,548 : x
  2. Step 2: Convert to fraction form
    4,144.86/6,218.64 = 1,548/x
  3. Step 3: Cross multiply
    4,144.86x = 6,218.64 × 1,548
  4. Step 4: Simplify right side
    4,144.86x = 9,626,454.72
  5. Step 5: Solve for x
    x = 9,626,454.72/4,144.86
  6. Step 6: Final answer
    x = 2,322.50

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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.