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Finding the Fourth Proportional to 5,032.69, 7,550.37 and 1,745.78

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Solution

The fourth proportional to 5,032.69, 7,550.37 and 1,745.78 is: 2,619.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,032.69 : 7,550.37 = 1,745.78 : x
  2. Step 2: Convert to fraction form
    5,032.69/7,550.37 = 1,745.78/x
  3. Step 3: Cross multiply
    5,032.69x = 7,550.37 × 1,745.78
  4. Step 4: Simplify right side
    5,032.69x = 13,181,247.19
  5. Step 5: Solve for x
    x = 13,181,247.19/5,032.69
  6. Step 6: Final answer
    x = 2,619.13

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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.