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Finding the Fourth Proportional to 3,745.02, 5,614.48 and 1,403.71

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Solution

The fourth proportional to 3,745.02, 5,614.48 and 1,403.71 is: 2,104.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,745.02 : 5,614.48 = 1,403.71 : x
  2. Step 2: Convert to fraction form
    3,745.02/5,614.48 = 1,403.71/x
  3. Step 3: Cross multiply
    3,745.02x = 5,614.48 × 1,403.71
  4. Step 4: Simplify right side
    3,745.02x = 7,881,101.72
  5. Step 5: Solve for x
    x = 7,881,101.72/3,745.02
  6. Step 6: Final answer
    x = 2,104.42

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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.