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Finding the Fourth Proportional to 4,003.46, 6,007.62 and 1,538.49

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Solution

The fourth proportional to 4,003.46, 6,007.62 and 1,538.49 is: 2,308.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,003.46 : 6,007.62 = 1,538.49 : x
  2. Step 2: Convert to fraction form
    4,003.46/6,007.62 = 1,538.49/x
  3. Step 3: Cross multiply
    4,003.46x = 6,007.62 × 1,538.49
  4. Step 4: Simplify right side
    4,003.46x = 9,242,663.29
  5. Step 5: Solve for x
    x = 9,242,663.29/4,003.46
  6. Step 6: Final answer
    x = 2,308.67

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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.