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Finding the Fourth Proportional to 5,462.37, 7,538.04 and 2,978.37

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Solution

The fourth proportional to 5,462.37, 7,538.04 and 2,978.37 is: 4,110.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,462.37 : 7,538.04 = 2,978.37 : x
  2. Step 2: Convert to fraction form
    5,462.37/7,538.04 = 2,978.37/x
  3. Step 3: Cross multiply
    5,462.37x = 7,538.04 × 2,978.37
  4. Step 4: Simplify right side
    5,462.37x = 22,451,072.19
  5. Step 5: Solve for x
    x = 22,451,072.19/5,462.37
  6. Step 6: Final answer
    x = 4,110.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.