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Finding the Fourth Proportional to 5,548.72, 8,319.28 and 2,083

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Solution

The fourth proportional to 5,548.72, 8,319.28 and 2,083 is: 3,123.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,548.72 : 8,319.28 = 2,083 : x
  2. Step 2: Convert to fraction form
    5,548.72/8,319.28 = 2,083/x
  3. Step 3: Cross multiply
    5,548.72x = 8,319.28 × 2,083
  4. Step 4: Simplify right side
    5,548.72x = 17,329,060.24
  5. Step 5: Solve for x
    x = 17,329,060.24/5,548.72
  6. Step 6: Final answer
    x = 3,123.07

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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.