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Finding the Fourth Proportional to 4,145.64, 6,218.26 and 1,548.38

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Solution

The fourth proportional to 4,145.64, 6,218.26 and 1,548.38 is: 2,322.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,145.64 : 6,218.26 = 1,548.38 : x
  2. Step 2: Convert to fraction form
    4,145.64/6,218.26 = 1,548.38/x
  3. Step 3: Cross multiply
    4,145.64x = 6,218.26 × 1,548.38
  4. Step 4: Simplify right side
    4,145.64x = 9,628,194.46
  5. Step 5: Solve for x
    x = 9,628,194.46/4,145.64
  6. Step 6: Final answer
    x = 2,322.49

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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.