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Finding the Fourth Proportional to 5,693.44, 8,533.92 and 3,716.64

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Solution

The fourth proportional to 5,693.44, 8,533.92 and 3,716.64 is: 5,570.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,693.44 : 8,533.92 = 3,716.64 : x
  2. Step 2: Convert to fraction form
    5,693.44/8,533.92 = 3,716.64/x
  3. Step 3: Cross multiply
    5,693.44x = 8,533.92 × 3,716.64
  4. Step 4: Simplify right side
    5,693.44x = 31,717,508.43
  5. Step 5: Solve for x
    x = 31,717,508.43/5,693.44
  6. Step 6: Final answer
    x = 5,570.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.