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Finding the Fourth Proportional to 3,705.60, 5,560.64 and 1,396.96

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Solution

The fourth proportional to 3,705.60, 5,560.64 and 1,396.96 is: 2,096.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,705.60 : 5,560.64 = 1,396.96 : x
  2. Step 2: Convert to fraction form
    3,705.60/5,560.64 = 1,396.96/x
  3. Step 3: Cross multiply
    3,705.60x = 5,560.64 × 1,396.96
  4. Step 4: Simplify right side
    3,705.60x = 7,767,991.65
  5. Step 5: Solve for x
    x = 7,767,991.65/3,705.60
  6. Step 6: Final answer
    x = 2,096.28

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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.