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Finding the Fourth Proportional to 5,343.38, 8,013.80 and 1,448.10

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Solution

The fourth proportional to 5,343.38, 8,013.80 and 1,448.10 is: 2,171.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,343.38 : 8,013.80 = 1,448.10 : x
  2. Step 2: Convert to fraction form
    5,343.38/8,013.80 = 1,448.10/x
  3. Step 3: Cross multiply
    5,343.38x = 8,013.80 × 1,448.10
  4. Step 4: Simplify right side
    5,343.38x = 11,604,783.78
  5. Step 5: Solve for x
    x = 11,604,783.78/5,343.38
  6. Step 6: Final answer
    x = 2,171.81

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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.