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Finding the Fourth Proportional to 4,297.38, 6,448.56 and 1,988.88

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Solution

The fourth proportional to 4,297.38, 6,448.56 and 1,988.88 is: 2,984.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,297.38 : 6,448.56 = 1,988.88 : x
  2. Step 2: Convert to fraction form
    4,297.38/6,448.56 = 1,988.88/x
  3. Step 3: Cross multiply
    4,297.38x = 6,448.56 × 1,988.88
  4. Step 4: Simplify right side
    4,297.38x = 12,825,412.01
  5. Step 5: Solve for x
    x = 12,825,412.01/4,297.38
  6. Step 6: Final answer
    x = 2,984.47

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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.