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Finding the Fourth Proportional to 4,805.60, 7,207.20 and 1,843.40

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Solution

The fourth proportional to 4,805.60, 7,207.20 and 1,843.40 is: 2,764.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,805.60 : 7,207.20 = 1,843.40 : x
  2. Step 2: Convert to fraction form
    4,805.60/7,207.20 = 1,843.40/x
  3. Step 3: Cross multiply
    4,805.60x = 7,207.20 × 1,843.40
  4. Step 4: Simplify right side
    4,805.60x = 13,285,752.48
  5. Step 5: Solve for x
    x = 13,285,752.48/4,805.60
  6. Step 6: Final answer
    x = 2,764.64

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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.