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Finding the Fourth Proportional to 3,548.60, 5,322.86 and 1,600.80

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Solution

The fourth proportional to 3,548.60, 5,322.86 and 1,600.80 is: 2,401.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,548.60 : 5,322.86 = 1,600.80 : x
  2. Step 2: Convert to fraction form
    3,548.60/5,322.86 = 1,600.80/x
  3. Step 3: Cross multiply
    3,548.60x = 5,322.86 × 1,600.80
  4. Step 4: Simplify right side
    3,548.60x = 8,520,826.28
  5. Step 5: Solve for x
    x = 8,520,826.28/3,548.60
  6. Step 6: Final answer
    x = 2,401.18

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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.