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Finding the Fourth Proportional to 3,500.70, 5,250.04 and 1,160.20

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Solution

The fourth proportional to 3,500.70, 5,250.04 and 1,160.20 is: 1,739.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,500.70 : 5,250.04 = 1,160.20 : x
  2. Step 2: Convert to fraction form
    3,500.70/5,250.04 = 1,160.20/x
  3. Step 3: Cross multiply
    3,500.70x = 5,250.04 × 1,160.20
  4. Step 4: Simplify right side
    3,500.70x = 6,091,096.41
  5. Step 5: Solve for x
    x = 6,091,096.41/3,500.70
  6. Step 6: Final answer
    x = 1,739.97

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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.