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Finding the Fourth Proportional to 3,801.74, 5,690.66 and 2,416.64

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Solution

The fourth proportional to 3,801.74, 5,690.66 and 2,416.64 is: 3,617.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,801.74 : 5,690.66 = 2,416.64 : x
  2. Step 2: Convert to fraction form
    3,801.74/5,690.66 = 2,416.64/x
  3. Step 3: Cross multiply
    3,801.74x = 5,690.66 × 2,416.64
  4. Step 4: Simplify right side
    3,801.74x = 13,752,236.05
  5. Step 5: Solve for x
    x = 13,752,236.05/3,801.74
  6. Step 6: Final answer
    x = 3,617.36

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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.