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Finding the Fourth Proportional to 4,189.44, 6,285.44 and 2,454.40

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Solution

The fourth proportional to 4,189.44, 6,285.44 and 2,454.40 is: 3,682.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,189.44 : 6,285.44 = 2,454.40 : x
  2. Step 2: Convert to fraction form
    4,189.44/6,285.44 = 2,454.40/x
  3. Step 3: Cross multiply
    4,189.44x = 6,285.44 × 2,454.40
  4. Step 4: Simplify right side
    4,189.44x = 15,426,983.94
  5. Step 5: Solve for x
    x = 15,426,983.94/4,189.44
  6. Step 6: Final answer
    x = 3,682.35

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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.