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Finding the Fourth Proportional to 4,145.96, 6,218.73 and 1,548.70

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Solution

The fourth proportional to 4,145.96, 6,218.73 and 1,548.70 is: 2,322.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,145.96 : 6,218.73 = 1,548.70 : x
  2. Step 2: Convert to fraction form
    4,145.96/6,218.73 = 1,548.70/x
  3. Step 3: Cross multiply
    4,145.96x = 6,218.73 × 1,548.70
  4. Step 4: Simplify right side
    4,145.96x = 9,630,947.15
  5. Step 5: Solve for x
    x = 9,630,947.15/4,145.96
  6. Step 6: Final answer
    x = 2,322.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.