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Finding the Fourth Proportional to 5,022.72, 7,534.08 and 4,003.20

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Solution

The fourth proportional to 5,022.72, 7,534.08 and 4,003.20 is: 6,004.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,022.72 : 7,534.08 = 4,003.20 : x
  2. Step 2: Convert to fraction form
    5,022.72/7,534.08 = 4,003.20/x
  3. Step 3: Cross multiply
    5,022.72x = 7,534.08 × 4,003.20
  4. Step 4: Simplify right side
    5,022.72x = 30,160,429.06
  5. Step 5: Solve for x
    x = 30,160,429.06/5,022.72
  6. Step 6: Final answer
    x = 6,004.80

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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.