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Finding the Fourth Proportional to 4,191.44, 6,288.44 and 2,456.40

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Solution

The fourth proportional to 4,191.44, 6,288.44 and 2,456.40 is: 3,685.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,191.44 : 6,288.44 = 2,456.40 : x
  2. Step 2: Convert to fraction form
    4,191.44/6,288.44 = 2,456.40/x
  3. Step 3: Cross multiply
    4,191.44x = 6,288.44 × 2,456.40
  4. Step 4: Simplify right side
    4,191.44x = 15,446,924.02
  5. Step 5: Solve for x
    x = 15,446,924.02/4,191.44
  6. Step 6: Final answer
    x = 3,685.35

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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.