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Finding the Fourth Proportional to 3,705.60, 5,552.25 and 2,141.89

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Solution

The fourth proportional to 3,705.60, 5,552.25 and 2,141.89 is: 3,209.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,705.60 : 5,552.25 = 2,141.89 : x
  2. Step 2: Convert to fraction form
    3,705.60/5,552.25 = 2,141.89/x
  3. Step 3: Cross multiply
    3,705.60x = 5,552.25 × 2,141.89
  4. Step 4: Simplify right side
    3,705.60x = 11,892,318.07
  5. Step 5: Solve for x
    x = 11,892,318.07/3,705.60
  6. Step 6: Final answer
    x = 3,209.28

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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.