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Finding the Fourth Proportional to 3,531.64, 5,297.94 and 1,340.60

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Solution

The fourth proportional to 3,531.64, 5,297.94 and 1,340.60 is: 2,011.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,531.64 : 5,297.94 = 1,340.60 : x
  2. Step 2: Convert to fraction form
    3,531.64/5,297.94 = 1,340.60/x
  3. Step 3: Cross multiply
    3,531.64x = 5,297.94 × 1,340.60
  4. Step 4: Simplify right side
    3,531.64x = 7,102,418.36
  5. Step 5: Solve for x
    x = 7,102,418.36/3,531.64
  6. Step 6: Final answer
    x = 2,011.08

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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.