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Finding the Fourth Proportional to 5,930.94, 8,896.62 and 1,548.24

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Solution

The fourth proportional to 5,930.94, 8,896.62 and 1,548.24 is: 2,322.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,930.94 : 8,896.62 = 1,548.24 : x
  2. Step 2: Convert to fraction form
    5,930.94/8,896.62 = 1,548.24/x
  3. Step 3: Cross multiply
    5,930.94x = 8,896.62 × 1,548.24
  4. Step 4: Simplify right side
    5,930.94x = 13,774,102.95
  5. Step 5: Solve for x
    x = 13,774,102.95/5,930.94
  6. Step 6: Final answer
    x = 2,322.41

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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.