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Finding the Fourth Proportional to 5,801.24, 8,013.34 and 4,448.64

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Solution

The fourth proportional to 5,801.24, 8,013.34 and 4,448.64 is: 6,144.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,801.24 : 8,013.34 = 4,448.64 : x
  2. Step 2: Convert to fraction form
    5,801.24/8,013.34 = 4,448.64/x
  3. Step 3: Cross multiply
    5,801.24x = 8,013.34 × 4,448.64
  4. Step 4: Simplify right side
    5,801.24x = 35,648,464.86
  5. Step 5: Solve for x
    x = 35,648,464.86/5,801.24
  6. Step 6: Final answer
    x = 6,144.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.