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Finding the Fourth Proportional to 3,739.01, 5,607.20 and 1,105.81

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Solution

The fourth proportional to 3,739.01, 5,607.20 and 1,105.81 is: 1,658.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,739.01 : 5,607.20 = 1,105.81 : x
  2. Step 2: Convert to fraction form
    3,739.01/5,607.20 = 1,105.81/x
  3. Step 3: Cross multiply
    3,739.01x = 5,607.20 × 1,105.81
  4. Step 4: Simplify right side
    3,739.01x = 6,200,478.28
  5. Step 5: Solve for x
    x = 6,200,478.28/3,739.01
  6. Step 6: Final answer
    x = 1,658.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.