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Finding the Fourth Proportional to 5,003.72, 7,468.94 and 4,412.58

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Solution

The fourth proportional to 5,003.72, 7,468.94 and 4,412.58 is: 6,586.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,003.72 : 7,468.94 = 4,412.58 : x
  2. Step 2: Convert to fraction form
    5,003.72/7,468.94 = 4,412.58/x
  3. Step 3: Cross multiply
    5,003.72x = 7,468.94 × 4,412.58
  4. Step 4: Simplify right side
    5,003.72x = 32,957,323.27
  5. Step 5: Solve for x
    x = 32,957,323.27/5,003.72
  6. Step 6: Final answer
    x = 6,586.56

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.