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Finding the Fourth Proportional to 4,161.40, 5,703.72 and 4,132.60

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Solution

The fourth proportional to 4,161.40, 5,703.72 and 4,132.60 is: 5,664.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,161.40 : 5,703.72 = 4,132.60 : x
  2. Step 2: Convert to fraction form
    4,161.40/5,703.72 = 4,132.60/x
  3. Step 3: Cross multiply
    4,161.40x = 5,703.72 × 4,132.60
  4. Step 4: Simplify right side
    4,161.40x = 23,571,193.27
  5. Step 5: Solve for x
    x = 23,571,193.27/4,161.40
  6. Step 6: Final answer
    x = 5,664.25

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.