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Finding the Fourth Proportional to 3,851.64, 5,780.70 and 1,662.03

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Solution

The fourth proportional to 3,851.64, 5,780.70 and 1,662.03 is: 2,494.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,851.64 : 5,780.70 = 1,662.03 : x
  2. Step 2: Convert to fraction form
    3,851.64/5,780.70 = 1,662.03/x
  3. Step 3: Cross multiply
    3,851.64x = 5,780.70 × 1,662.03
  4. Step 4: Simplify right side
    3,851.64x = 9,607,696.82
  5. Step 5: Solve for x
    x = 9,607,696.82/3,851.64
  6. Step 6: Final answer
    x = 2,494.44

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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.