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Finding the Fourth Proportional to 5,930.79, 8,896.19 and 1,548.24

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Solution

The fourth proportional to 5,930.79, 8,896.19 and 1,548.24 is: 2,322.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,930.79 : 8,896.19 = 1,548.24 : x
  2. Step 2: Convert to fraction form
    5,930.79/8,896.19 = 1,548.24/x
  3. Step 3: Cross multiply
    5,930.79x = 8,896.19 × 1,548.24
  4. Step 4: Simplify right side
    5,930.79x = 13,773,437.21
  5. Step 5: Solve for x
    x = 13,773,437.21/5,930.79
  6. Step 6: Final answer
    x = 2,322.36

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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.