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Finding the Fourth Proportional to 3,705.60, 5,555.79 and 1,855.40

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Solution

The fourth proportional to 3,705.60, 5,555.79 and 1,855.40 is: 2,781.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,705.60 : 5,555.79 = 1,855.40 : x
  2. Step 2: Convert to fraction form
    3,705.60/5,555.79 = 1,855.40/x
  3. Step 3: Cross multiply
    3,705.60x = 5,555.79 × 1,855.40
  4. Step 4: Simplify right side
    3,705.60x = 10,308,184.99
  5. Step 5: Solve for x
    x = 10,308,184.99/3,705.60
  6. Step 6: Final answer
    x = 2,781.79

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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.