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Finding the Fourth Proportional to 3,532.51, 5,297.84 and 1,679.94

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Solution

The fourth proportional to 3,532.51, 5,297.84 and 1,679.94 is: 2,519.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,532.51 : 5,297.84 = 1,679.94 : x
  2. Step 2: Convert to fraction form
    3,532.51/5,297.84 = 1,679.94/x
  3. Step 3: Cross multiply
    3,532.51x = 5,297.84 × 1,679.94
  4. Step 4: Simplify right side
    3,532.51x = 8,900,051.23
  5. Step 5: Solve for x
    x = 8,900,051.23/3,532.51
  6. Step 6: Final answer
    x = 2,519.47

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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.