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Finding the Fourth Proportional to 4,003.59, 6,004.98 and 2,538.30

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Solution

The fourth proportional to 4,003.59, 6,004.98 and 2,538.30 is: 3,807.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,003.59 : 6,004.98 = 2,538.30 : x
  2. Step 2: Convert to fraction form
    4,003.59/6,004.98 = 2,538.30/x
  3. Step 3: Cross multiply
    4,003.59x = 6,004.98 × 2,538.30
  4. Step 4: Simplify right side
    4,003.59x = 15,242,440.73
  5. Step 5: Solve for x
    x = 15,242,440.73/4,003.59
  6. Step 6: Final answer
    x = 3,807.19

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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.