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Finding the Fourth Proportional to 3,548.72, 5,323.93 and 1,600.92

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Solution

The fourth proportional to 3,548.72, 5,323.93 and 1,600.92 is: 2,401.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,548.72 : 5,323.93 = 1,600.92 : x
  2. Step 2: Convert to fraction form
    3,548.72/5,323.93 = 1,600.92/x
  3. Step 3: Cross multiply
    3,548.72x = 5,323.93 × 1,600.92
  4. Step 4: Simplify right side
    3,548.72x = 8,523,182.01
  5. Step 5: Solve for x
    x = 8,523,182.01/3,548.72
  6. Step 6: Final answer
    x = 2,401.76

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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.