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Finding the Fourth Proportional to 5,424.11, 7,485.64 and 3,034.30

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Solution

The fourth proportional to 5,424.11, 7,485.64 and 3,034.30 is: 4,187.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,424.11 : 7,485.64 = 3,034.30 : x
  2. Step 2: Convert to fraction form
    5,424.11/7,485.64 = 3,034.30/x
  3. Step 3: Cross multiply
    5,424.11x = 7,485.64 × 3,034.30
  4. Step 4: Simplify right side
    5,424.11x = 22,713,677.45
  5. Step 5: Solve for x
    x = 22,713,677.45/5,424.11
  6. Step 6: Final answer
    x = 4,187.54

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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.