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Finding the Fourth Proportional to 5,003.63, 7,505.17 and 2,538.38

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Solution

The fourth proportional to 5,003.63, 7,505.17 and 2,538.38 is: 3,807.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,003.63 : 7,505.17 = 2,538.38 : x
  2. Step 2: Convert to fraction form
    5,003.63/7,505.17 = 2,538.38/x
  3. Step 3: Cross multiply
    5,003.63x = 7,505.17 × 2,538.38
  4. Step 4: Simplify right side
    5,003.63x = 19,050,973.42
  5. Step 5: Solve for x
    x = 19,050,973.42/5,003.63
  6. Step 6: Final answer
    x = 3,807.43

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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.